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Finding the Third Proportional to 15,342 and 32,871

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Solution

The third proportional to 15,342 and 32,871 is: 70,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342 : 32,871 = 32,871 : x
  2. Step 2: Convert to fraction form
    15,342/32,871 = 32,871/x
  3. Step 3: Cross multiply
    15,342x = 32,871 × 32,871
  4. Step 4: Simplify right side
    15,342x = 1,080,502,641
  5. Step 5: Solve for x
    x = 1,080,502,641/15,342
  6. Step 6: Final answer
    x = 70,427.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.