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Finding the Third Proportional to 14,853 and 21,982.50

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Solution

The third proportional to 14,853 and 21,982.50 is: 32,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853 : 21,982.50 = 21,982.50 : x
  2. Step 2: Convert to fraction form
    14,853/21,982.50 = 21,982.50/x
  3. Step 3: Cross multiply
    14,853x = 21,982.50 × 21,982.50
  4. Step 4: Simplify right side
    14,853x = 483,230,306.25
  5. Step 5: Solve for x
    x = 483,230,306.25/14,853
  6. Step 6: Final answer
    x = 32,534.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.