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Finding the Third Proportional to 7,948.31 and 17,126.81

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Solution

The third proportional to 7,948.31 and 17,126.81 is: 36,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.31 : 17,126.81 = 17,126.81 : x
  2. Step 2: Convert to fraction form
    7,948.31/17,126.81 = 17,126.81/x
  3. Step 3: Cross multiply
    7,948.31x = 17,126.81 × 17,126.81
  4. Step 4: Simplify right side
    7,948.31x = 293,327,706.41
  5. Step 5: Solve for x
    x = 293,327,706.41/7,948.31
  6. Step 6: Final answer
    x = 36,904.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.