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Finding the Third Proportional to 44,606.53 and 65,677.71

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Solution

The third proportional to 44,606.53 and 65,677.71 is: 96,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,606.53 : 65,677.71 = 65,677.71 : x
  2. Step 2: Convert to fraction form
    44,606.53/65,677.71 = 65,677.71/x
  3. Step 3: Cross multiply
    44,606.53x = 65,677.71 × 65,677.71
  4. Step 4: Simplify right side
    44,606.53x = 4,313,561,713.99
  5. Step 5: Solve for x
    x = 4,313,561,713.99/44,606.53
  6. Step 6: Final answer
    x = 96,702.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.