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Finding the Third Proportional to 10,575.14 and 14,727.23

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Solution

The third proportional to 10,575.14 and 14,727.23 is: 20,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.14 : 14,727.23 = 14,727.23 : x
  2. Step 2: Convert to fraction form
    10,575.14/14,727.23 = 14,727.23/x
  3. Step 3: Cross multiply
    10,575.14x = 14,727.23 × 14,727.23
  4. Step 4: Simplify right side
    10,575.14x = 216,891,432.34
  5. Step 5: Solve for x
    x = 216,891,432.34/10,575.14
  6. Step 6: Final answer
    x = 20,509.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.