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Finding the Third Proportional to 7,342 and 12,959

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Solution

The third proportional to 7,342 and 12,959 is: 22,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342 : 12,959 = 12,959 : x
  2. Step 2: Convert to fraction form
    7,342/12,959 = 12,959/x
  3. Step 3: Cross multiply
    7,342x = 12,959 × 12,959
  4. Step 4: Simplify right side
    7,342x = 167,935,681
  5. Step 5: Solve for x
    x = 167,935,681/7,342
  6. Step 6: Final answer
    x = 22,873.29

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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.