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Finding the Third Proportional to 9,448.52 and 15,557.70

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Solution

The third proportional to 9,448.52 and 15,557.70 is: 25,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.52 : 15,557.70 = 15,557.70 : x
  2. Step 2: Convert to fraction form
    9,448.52/15,557.70 = 15,557.70/x
  3. Step 3: Cross multiply
    9,448.52x = 15,557.70 × 15,557.70
  4. Step 4: Simplify right side
    9,448.52x = 242,041,883.44
  5. Step 5: Solve for x
    x = 242,041,883.44/9,448.52
  6. Step 6: Final answer
    x = 25,616.90

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.