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Finding the Third Proportional to 29,400.75 and 64,045.13

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Solution

The third proportional to 29,400.75 and 64,045.13 is: 139,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400.75 : 64,045.13 = 64,045.13 : x
  2. Step 2: Convert to fraction form
    29,400.75/64,045.13 = 64,045.13/x
  3. Step 3: Cross multiply
    29,400.75x = 64,045.13 × 64,045.13
  4. Step 4: Simplify right side
    29,400.75x = 4,101,778,036.27
  5. Step 5: Solve for x
    x = 4,101,778,036.27/29,400.75
  6. Step 6: Final answer
    x = 139,512.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.