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Finding the Third Proportional to 9,452.32 and 14,752.76

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Solution

The third proportional to 9,452.32 and 14,752.76 is: 23,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.32 : 14,752.76 = 14,752.76 : x
  2. Step 2: Convert to fraction form
    9,452.32/14,752.76 = 14,752.76/x
  3. Step 3: Cross multiply
    9,452.32x = 14,752.76 × 14,752.76
  4. Step 4: Simplify right side
    9,452.32x = 217,643,863.07
  5. Step 5: Solve for x
    x = 217,643,863.07/9,452.32
  6. Step 6: Final answer
    x = 23,025.44

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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.