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Finding the Third Proportional to 7,053.50 and 15,169

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Solution

The third proportional to 7,053.50 and 15,169 is: 32,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.50 : 15,169 = 15,169 : x
  2. Step 2: Convert to fraction form
    7,053.50/15,169 = 15,169/x
  3. Step 3: Cross multiply
    7,053.50x = 15,169 × 15,169
  4. Step 4: Simplify right side
    7,053.50x = 230,098,561
  5. Step 5: Solve for x
    x = 230,098,561/7,053.50
  6. Step 6: Final answer
    x = 32,621.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.