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Finding the Third Proportional to 10,712.53 and 16,433.30

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Solution

The third proportional to 10,712.53 and 16,433.30 is: 25,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.53 : 16,433.30 = 16,433.30 : x
  2. Step 2: Convert to fraction form
    10,712.53/16,433.30 = 16,433.30/x
  3. Step 3: Cross multiply
    10,712.53x = 16,433.30 × 16,433.30
  4. Step 4: Simplify right side
    10,712.53x = 270,053,246.18
  5. Step 5: Solve for x
    x = 270,053,246.18/10,712.53
  6. Step 6: Final answer
    x = 25,209.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.