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Finding the Third Proportional to 9,357 and 14,560.50

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Solution

The third proportional to 9,357 and 14,560.50 is: 22,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357 : 14,560.50 = 14,560.50 : x
  2. Step 2: Convert to fraction form
    9,357/14,560.50 = 14,560.50/x
  3. Step 3: Cross multiply
    9,357x = 14,560.50 × 14,560.50
  4. Step 4: Simplify right side
    9,357x = 212,008,160.25
  5. Step 5: Solve for x
    x = 212,008,160.25/9,357
  6. Step 6: Final answer
    x = 22,657.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.