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Finding the Third Proportional to 22,685.63 and 36,034.31

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Solution

The third proportional to 22,685.63 and 36,034.31 is: 57,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.63 : 36,034.31 = 36,034.31 : x
  2. Step 2: Convert to fraction form
    22,685.63/36,034.31 = 36,034.31/x
  3. Step 3: Cross multiply
    22,685.63x = 36,034.31 × 36,034.31
  4. Step 4: Simplify right side
    22,685.63x = 1,298,471,677.35
  5. Step 5: Solve for x
    x = 1,298,471,677.35/22,685.63
  6. Step 6: Final answer
    x = 57,237.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.