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Finding the Third Proportional to 28,387 and 58,598

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Solution

The third proportional to 28,387 and 58,598 is: 120,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,387 : 58,598 = 58,598 : x
  2. Step 2: Convert to fraction form
    28,387/58,598 = 58,598/x
  3. Step 3: Cross multiply
    28,387x = 58,598 × 58,598
  4. Step 4: Simplify right side
    28,387x = 3,433,725,604
  5. Step 5: Solve for x
    x = 3,433,725,604/28,387
  6. Step 6: Final answer
    x = 120,961.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.