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Finding the Third Proportional to 39,020 and 58,423

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Solution

The third proportional to 39,020 and 58,423 is: 87,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,020 : 58,423 = 58,423 : x
  2. Step 2: Convert to fraction form
    39,020/58,423 = 58,423/x
  3. Step 3: Cross multiply
    39,020x = 58,423 × 58,423
  4. Step 4: Simplify right side
    39,020x = 3,413,246,929
  5. Step 5: Solve for x
    x = 3,413,246,929/39,020
  6. Step 6: Final answer
    x = 87,474.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.