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Finding the Third Proportional to 7,011.98 and 15,343.59

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Solution

The third proportional to 7,011.98 and 15,343.59 is: 33,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.98 : 15,343.59 = 15,343.59 : x
  2. Step 2: Convert to fraction form
    7,011.98/15,343.59 = 15,343.59/x
  3. Step 3: Cross multiply
    7,011.98x = 15,343.59 × 15,343.59
  4. Step 4: Simplify right side
    7,011.98x = 235,425,869.17
  5. Step 5: Solve for x
    x = 235,425,869.17/7,011.98
  6. Step 6: Final answer
    x = 33,574.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.