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Finding the Third Proportional to 5,700.38 and 8,726.06

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Solution

The third proportional to 5,700.38 and 8,726.06 is: 13,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.38 : 8,726.06 = 8,726.06 : x
  2. Step 2: Convert to fraction form
    5,700.38/8,726.06 = 8,726.06/x
  3. Step 3: Cross multiply
    5,700.38x = 8,726.06 × 8,726.06
  4. Step 4: Simplify right side
    5,700.38x = 76,144,166.75
  5. Step 5: Solve for x
    x = 76,144,166.75/5,700.38
  6. Step 6: Final answer
    x = 13,357.75

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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.