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Finding the Third Proportional to 29,332.13 and 64,494.56

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Solution

The third proportional to 29,332.13 and 64,494.56 is: 141,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,332.13 : 64,494.56 = 64,494.56 : x
  2. Step 2: Convert to fraction form
    29,332.13/64,494.56 = 64,494.56/x
  3. Step 3: Cross multiply
    29,332.13x = 64,494.56 × 64,494.56
  4. Step 4: Simplify right side
    29,332.13x = 4,159,548,592.07
  5. Step 5: Solve for x
    x = 4,159,548,592.07/29,332.13
  6. Step 6: Final answer
    x = 141,808.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.