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Finding the Third Proportional to 7,349.80 and 15,878.53

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Solution

The third proportional to 7,349.80 and 15,878.53 is: 34,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.80 : 15,878.53 = 15,878.53 : x
  2. Step 2: Convert to fraction form
    7,349.80/15,878.53 = 15,878.53/x
  3. Step 3: Cross multiply
    7,349.80x = 15,878.53 × 15,878.53
  4. Step 4: Simplify right side
    7,349.80x = 252,127,754.66
  5. Step 5: Solve for x
    x = 252,127,754.66/7,349.80
  6. Step 6: Final answer
    x = 34,304.03

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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.