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Finding the Third Proportional to 14,970.75 and 24,952.13

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Solution

The third proportional to 14,970.75 and 24,952.13 is: 41,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.75 : 24,952.13 = 24,952.13 : x
  2. Step 2: Convert to fraction form
    14,970.75/24,952.13 = 24,952.13/x
  3. Step 3: Cross multiply
    14,970.75x = 24,952.13 × 24,952.13
  4. Step 4: Simplify right side
    14,970.75x = 622,608,542.02
  5. Step 5: Solve for x
    x = 622,608,542.02/14,970.75
  6. Step 6: Final answer
    x = 41,588.33

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.