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Finding the Third Proportional to 9,787.50 and 15,597

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Solution

The third proportional to 9,787.50 and 15,597 is: 24,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.50 : 15,597 = 15,597 : x
  2. Step 2: Convert to fraction form
    9,787.50/15,597 = 15,597/x
  3. Step 3: Cross multiply
    9,787.50x = 15,597 × 15,597
  4. Step 4: Simplify right side
    9,787.50x = 243,266,409
  5. Step 5: Solve for x
    x = 243,266,409/9,787.50
  6. Step 6: Final answer
    x = 24,854.81

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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.