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Finding the Third Proportional to 7,706 and 9,875

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Solution

The third proportional to 7,706 and 9,875 is: 12,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 9,875 = 9,875 : x
  2. Step 2: Convert to fraction form
    7,706/9,875 = 9,875/x
  3. Step 3: Cross multiply
    7,706x = 9,875 × 9,875
  4. Step 4: Simplify right side
    7,706x = 97,515,625
  5. Step 5: Solve for x
    x = 97,515,625/7,706
  6. Step 6: Final answer
    x = 12,654.51

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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.