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Finding the Third Proportional to 7,348 and 12,971

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Solution

The third proportional to 7,348 and 12,971 is: 22,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348 : 12,971 = 12,971 : x
  2. Step 2: Convert to fraction form
    7,348/12,971 = 12,971/x
  3. Step 3: Cross multiply
    7,348x = 12,971 × 12,971
  4. Step 4: Simplify right side
    7,348x = 168,246,841
  5. Step 5: Solve for x
    x = 168,246,841/7,348
  6. Step 6: Final answer
    x = 22,896.96

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.