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Finding the Third Proportional to 8,376.75 and 15,751.13

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Solution

The third proportional to 8,376.75 and 15,751.13 is: 29,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.75 : 15,751.13 = 15,751.13 : x
  2. Step 2: Convert to fraction form
    8,376.75/15,751.13 = 15,751.13/x
  3. Step 3: Cross multiply
    8,376.75x = 15,751.13 × 15,751.13
  4. Step 4: Simplify right side
    8,376.75x = 248,097,938.77
  5. Step 5: Solve for x
    x = 248,097,938.77/8,376.75
  6. Step 6: Final answer
    x = 29,617.45

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.