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Finding the Third Proportional to 38,898 and 61,924.50

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Solution

The third proportional to 38,898 and 61,924.50 is: 98,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,898 : 61,924.50 = 61,924.50 : x
  2. Step 2: Convert to fraction form
    38,898/61,924.50 = 61,924.50/x
  3. Step 3: Cross multiply
    38,898x = 61,924.50 × 61,924.50
  4. Step 4: Simplify right side
    38,898x = 3,834,643,700.25
  5. Step 5: Solve for x
    x = 3,834,643,700.25/38,898
  6. Step 6: Final answer
    x = 98,582.03

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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.