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Finding the Third Proportional to 38,089 and 58,429.50

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Solution

The third proportional to 38,089 and 58,429.50 is: 89,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,089 : 58,429.50 = 58,429.50 : x
  2. Step 2: Convert to fraction form
    38,089/58,429.50 = 58,429.50/x
  3. Step 3: Cross multiply
    38,089x = 58,429.50 × 58,429.50
  4. Step 4: Simplify right side
    38,089x = 3,414,006,470.25
  5. Step 5: Solve for x
    x = 3,414,006,470.25/38,089
  6. Step 6: Final answer
    x = 89,632.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.