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Finding the Third Proportional to 39,490 and 61,870

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Solution

The third proportional to 39,490 and 61,870 is: 96,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,490 : 61,870 = 61,870 : x
  2. Step 2: Convert to fraction form
    39,490/61,870 = 61,870/x
  3. Step 3: Cross multiply
    39,490x = 61,870 × 61,870
  4. Step 4: Simplify right side
    39,490x = 3,827,896,900
  5. Step 5: Solve for x
    x = 3,827,896,900/39,490
  6. Step 6: Final answer
    x = 96,933.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.