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Finding the Third Proportional to 23,176.13 and 36,970.17

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Solution

The third proportional to 23,176.13 and 36,970.17 is: 58,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.13 : 36,970.17 = 36,970.17 : x
  2. Step 2: Convert to fraction form
    23,176.13/36,970.17 = 36,970.17/x
  3. Step 3: Cross multiply
    23,176.13x = 36,970.17 × 36,970.17
  4. Step 4: Simplify right side
    23,176.13x = 1,366,793,608.47
  5. Step 5: Solve for x
    x = 1,366,793,608.47/23,176.13
  6. Step 6: Final answer
    x = 58,974.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.