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Finding the Third Proportional to 14,802 and 32,853

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Solution

The third proportional to 14,802 and 32,853 is: 72,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802 : 32,853 = 32,853 : x
  2. Step 2: Convert to fraction form
    14,802/32,853 = 32,853/x
  3. Step 3: Cross multiply
    14,802x = 32,853 × 32,853
  4. Step 4: Simplify right side
    14,802x = 1,079,319,609
  5. Step 5: Solve for x
    x = 1,079,319,609/14,802
  6. Step 6: Final answer
    x = 72,917.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.