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Finding the Third Proportional to 7,069.78 and 15,314.06

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Solution

The third proportional to 7,069.78 and 15,314.06 is: 33,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.78 : 15,314.06 = 15,314.06 : x
  2. Step 2: Convert to fraction form
    7,069.78/15,314.06 = 15,314.06/x
  3. Step 3: Cross multiply
    7,069.78x = 15,314.06 × 15,314.06
  4. Step 4: Simplify right side
    7,069.78x = 234,520,510.25
  5. Step 5: Solve for x
    x = 234,520,510.25/7,069.78
  6. Step 6: Final answer
    x = 33,172.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.