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Finding the Third Proportional to 7,426.13 and 9,898.88

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Solution

The third proportional to 7,426.13 and 9,898.88 is: 13,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.13 : 9,898.88 = 9,898.88 : x
  2. Step 2: Convert to fraction form
    7,426.13/9,898.88 = 9,898.88/x
  3. Step 3: Cross multiply
    7,426.13x = 9,898.88 × 9,898.88
  4. Step 4: Simplify right side
    7,426.13x = 97,987,726.27
  5. Step 5: Solve for x
    x = 97,987,726.27/7,426.13
  6. Step 6: Final answer
    x = 13,195.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.