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Finding the Third Proportional to 5,866.50 and 9,159.75

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Solution

The third proportional to 5,866.50 and 9,159.75 is: 14,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.50 : 9,159.75 = 9,159.75 : x
  2. Step 2: Convert to fraction form
    5,866.50/9,159.75 = 9,159.75/x
  3. Step 3: Cross multiply
    5,866.50x = 9,159.75 × 9,159.75
  4. Step 4: Simplify right side
    5,866.50x = 83,901,020.06
  5. Step 5: Solve for x
    x = 83,901,020.06/5,866.50
  6. Step 6: Final answer
    x = 14,301.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.