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Finding the Third Proportional to 7,368.31 and 15,902.74

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Solution

The third proportional to 7,368.31 and 15,902.74 is: 34,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368.31 : 15,902.74 = 15,902.74 : x
  2. Step 2: Convert to fraction form
    7,368.31/15,902.74 = 15,902.74/x
  3. Step 3: Cross multiply
    7,368.31x = 15,902.74 × 15,902.74
  4. Step 4: Simplify right side
    7,368.31x = 252,897,022.72
  5. Step 5: Solve for x
    x = 252,897,022.72/7,368.31
  6. Step 6: Final answer
    x = 34,322.25

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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.