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Finding the Third Proportional to 10,089.56 and 20,587.92

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Solution

The third proportional to 10,089.56 and 20,587.92 is: 42,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.56 : 20,587.92 = 20,587.92 : x
  2. Step 2: Convert to fraction form
    10,089.56/20,587.92 = 20,587.92/x
  3. Step 3: Cross multiply
    10,089.56x = 20,587.92 × 20,587.92
  4. Step 4: Simplify right side
    10,089.56x = 423,862,527.13
  5. Step 5: Solve for x
    x = 423,862,527.13/10,089.56
  6. Step 6: Final answer
    x = 42,010.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.