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Finding the Third Proportional to 7,971 and 9,411

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Solution

The third proportional to 7,971 and 9,411 is: 11,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 9,411 = 9,411 : x
  2. Step 2: Convert to fraction form
    7,971/9,411 = 9,411/x
  3. Step 3: Cross multiply
    7,971x = 9,411 × 9,411
  4. Step 4: Simplify right side
    7,971x = 88,566,921
  5. Step 5: Solve for x
    x = 88,566,921/7,971
  6. Step 6: Final answer
    x = 11,111.14

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.