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Finding the Third Proportional to 8,957.50 and 13,165.75

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Solution

The third proportional to 8,957.50 and 13,165.75 is: 19,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.50 : 13,165.75 = 13,165.75 : x
  2. Step 2: Convert to fraction form
    8,957.50/13,165.75 = 13,165.75/x
  3. Step 3: Cross multiply
    8,957.50x = 13,165.75 × 13,165.75
  4. Step 4: Simplify right side
    8,957.50x = 173,336,973.06
  5. Step 5: Solve for x
    x = 173,336,973.06/8,957.50
  6. Step 6: Final answer
    x = 19,351.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.