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Finding the Third Proportional to 40,970.25 and 61,830

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Solution

The third proportional to 40,970.25 and 61,830 is: 93,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970.25 : 61,830 = 61,830 : x
  2. Step 2: Convert to fraction form
    40,970.25/61,830 = 61,830/x
  3. Step 3: Cross multiply
    40,970.25x = 61,830 × 61,830
  4. Step 4: Simplify right side
    40,970.25x = 3,822,948,900
  5. Step 5: Solve for x
    x = 3,822,948,900/40,970.25
  6. Step 6: Final answer
    x = 93,310.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.