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Finding the Third Proportional to 28,387.50 and 58,597

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Solution

The third proportional to 28,387.50 and 58,597 is: 120,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,387.50 : 58,597 = 58,597 : x
  2. Step 2: Convert to fraction form
    28,387.50/58,597 = 58,597/x
  3. Step 3: Cross multiply
    28,387.50x = 58,597 × 58,597
  4. Step 4: Simplify right side
    28,387.50x = 3,433,608,409
  5. Step 5: Solve for x
    x = 3,433,608,409/28,387.50
  6. Step 6: Final answer
    x = 120,954.94

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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.