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Finding the Third Proportional to 22,988.25 and 35,150.63

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Solution

The third proportional to 22,988.25 and 35,150.63 is: 53,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,988.25 : 35,150.63 = 35,150.63 : x
  2. Step 2: Convert to fraction form
    22,988.25/35,150.63 = 35,150.63/x
  3. Step 3: Cross multiply
    22,988.25x = 35,150.63 × 35,150.63
  4. Step 4: Simplify right side
    22,988.25x = 1,235,566,437.89
  5. Step 5: Solve for x
    x = 1,235,566,437.89/22,988.25
  6. Step 6: Final answer
    x = 53,747.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.