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Finding the Third Proportional to 12,575.16 and 18,864.28

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Solution

The third proportional to 12,575.16 and 18,864.28 is: 28,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.16 : 18,864.28 = 18,864.28 : x
  2. Step 2: Convert to fraction form
    12,575.16/18,864.28 = 18,864.28/x
  3. Step 3: Cross multiply
    12,575.16x = 18,864.28 × 18,864.28
  4. Step 4: Simplify right side
    12,575.16x = 355,861,107.08
  5. Step 5: Solve for x
    x = 355,861,107.08/12,575.16
  6. Step 6: Final answer
    x = 28,298.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.