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Finding the Third Proportional to 9,156 and 16,342.50

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Solution

The third proportional to 9,156 and 16,342.50 is: 29,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156 : 16,342.50 = 16,342.50 : x
  2. Step 2: Convert to fraction form
    9,156/16,342.50 = 16,342.50/x
  3. Step 3: Cross multiply
    9,156x = 16,342.50 × 16,342.50
  4. Step 4: Simplify right side
    9,156x = 267,077,306.25
  5. Step 5: Solve for x
    x = 267,077,306.25/9,156
  6. Step 6: Final answer
    x = 29,169.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.