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Finding the Third Proportional to 29,550.13 and 64,123.52

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Solution

The third proportional to 29,550.13 and 64,123.52 is: 139,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,550.13 : 64,123.52 = 64,123.52 : x
  2. Step 2: Convert to fraction form
    29,550.13/64,123.52 = 64,123.52/x
  3. Step 3: Cross multiply
    29,550.13x = 64,123.52 × 64,123.52
  4. Step 4: Simplify right side
    29,550.13x = 4,111,826,258.04
  5. Step 5: Solve for x
    x = 4,111,826,258.04/29,550.13
  6. Step 6: Final answer
    x = 139,147.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.