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Finding the Third Proportional to 14,906.25 and 24,549.75

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Solution

The third proportional to 14,906.25 and 24,549.75 is: 40,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.25 : 24,549.75 = 24,549.75 : x
  2. Step 2: Convert to fraction form
    14,906.25/24,549.75 = 24,549.75/x
  3. Step 3: Cross multiply
    14,906.25x = 24,549.75 × 24,549.75
  4. Step 4: Simplify right side
    14,906.25x = 602,690,225.06
  5. Step 5: Solve for x
    x = 602,690,225.06/14,906.25
  6. Step 6: Final answer
    x = 40,432.05

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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.