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Finding the Third Proportional to 7,427 and 8,129

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Solution

The third proportional to 7,427 and 8,129 is: 8,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427 : 8,129 = 8,129 : x
  2. Step 2: Convert to fraction form
    7,427/8,129 = 8,129/x
  3. Step 3: Cross multiply
    7,427x = 8,129 × 8,129
  4. Step 4: Simplify right side
    7,427x = 66,080,641
  5. Step 5: Solve for x
    x = 66,080,641/7,427
  6. Step 6: Final answer
    x = 8,897.35

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.