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Finding the Third Proportional to 41,746.13 and 62,619.38

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Solution

The third proportional to 41,746.13 and 62,619.38 is: 93,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,746.13 : 62,619.38 = 62,619.38 : x
  2. Step 2: Convert to fraction form
    41,746.13/62,619.38 = 62,619.38/x
  3. Step 3: Cross multiply
    41,746.13x = 62,619.38 × 62,619.38
  4. Step 4: Simplify right side
    41,746.13x = 3,921,186,125.39
  5. Step 5: Solve for x
    x = 3,921,186,125.39/41,746.13
  6. Step 6: Final answer
    x = 93,929.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.