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Finding the Third Proportional to 25,808.63 and 36,346.22

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Solution

The third proportional to 25,808.63 and 36,346.22 is: 51,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,808.63 : 36,346.22 = 36,346.22 : x
  2. Step 2: Convert to fraction form
    25,808.63/36,346.22 = 36,346.22/x
  3. Step 3: Cross multiply
    25,808.63x = 36,346.22 × 36,346.22
  4. Step 4: Simplify right side
    25,808.63x = 1,321,047,617.42
  5. Step 5: Solve for x
    x = 1,321,047,617.42/25,808.63
  6. Step 6: Final answer
    x = 51,186.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.