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Finding the Third Proportional to 38,358.38 and 51,598.13

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Solution

The third proportional to 38,358.38 and 51,598.13 is: 69,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358.38 : 51,598.13 = 51,598.13 : x
  2. Step 2: Convert to fraction form
    38,358.38/51,598.13 = 51,598.13/x
  3. Step 3: Cross multiply
    38,358.38x = 51,598.13 × 51,598.13
  4. Step 4: Simplify right side
    38,358.38x = 2,662,366,503.52
  5. Step 5: Solve for x
    x = 2,662,366,503.52/38,358.38
  6. Step 6: Final answer
    x = 69,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.