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Finding the Third Proportional to 14,509.13 and 23,982.75

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Solution

The third proportional to 14,509.13 and 23,982.75 is: 39,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.13 : 23,982.75 = 23,982.75 : x
  2. Step 2: Convert to fraction form
    14,509.13/23,982.75 = 23,982.75/x
  3. Step 3: Cross multiply
    14,509.13x = 23,982.75 × 23,982.75
  4. Step 4: Simplify right side
    14,509.13x = 575,172,297.56
  5. Step 5: Solve for x
    x = 575,172,297.56/14,509.13
  6. Step 6: Final answer
    x = 39,642.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.