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Finding the Third Proportional to 7,755 and 9,957

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Solution

The third proportional to 7,755 and 9,957 is: 12,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755 : 9,957 = 9,957 : x
  2. Step 2: Convert to fraction form
    7,755/9,957 = 9,957/x
  3. Step 3: Cross multiply
    7,755x = 9,957 × 9,957
  4. Step 4: Simplify right side
    7,755x = 99,141,849
  5. Step 5: Solve for x
    x = 99,141,849/7,755
  6. Step 6: Final answer
    x = 12,784.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.