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Finding the Third Proportional to 38,901 and 61,753.50

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Solution

The third proportional to 38,901 and 61,753.50 is: 98,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901 : 61,753.50 = 61,753.50 : x
  2. Step 2: Convert to fraction form
    38,901/61,753.50 = 61,753.50/x
  3. Step 3: Cross multiply
    38,901x = 61,753.50 × 61,753.50
  4. Step 4: Simplify right side
    38,901x = 3,813,494,762.25
  5. Step 5: Solve for x
    x = 3,813,494,762.25/38,901
  6. Step 6: Final answer
    x = 98,030.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.