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Finding the Third Proportional to 14,070 and 32,871

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Solution

The third proportional to 14,070 and 32,871 is: 76,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070 : 32,871 = 32,871 : x
  2. Step 2: Convert to fraction form
    14,070/32,871 = 32,871/x
  3. Step 3: Cross multiply
    14,070x = 32,871 × 32,871
  4. Step 4: Simplify right side
    14,070x = 1,080,502,641
  5. Step 5: Solve for x
    x = 1,080,502,641/14,070
  6. Step 6: Final answer
    x = 76,794.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.