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Finding the Third Proportional to 7,069.78 and 15,250.78

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Solution

The third proportional to 7,069.78 and 15,250.78 is: 32,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.78 : 15,250.78 = 15,250.78 : x
  2. Step 2: Convert to fraction form
    7,069.78/15,250.78 = 15,250.78/x
  3. Step 3: Cross multiply
    7,069.78x = 15,250.78 × 15,250.78
  4. Step 4: Simplify right side
    7,069.78x = 232,586,328.74
  5. Step 5: Solve for x
    x = 232,586,328.74/7,069.78
  6. Step 6: Final answer
    x = 32,898.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.