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Finding the Third Proportional to 10,359 and 24,972.75

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Solution

The third proportional to 10,359 and 24,972.75 is: 60,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359 : 24,972.75 = 24,972.75 : x
  2. Step 2: Convert to fraction form
    10,359/24,972.75 = 24,972.75/x
  3. Step 3: Cross multiply
    10,359x = 24,972.75 × 24,972.75
  4. Step 4: Simplify right side
    10,359x = 623,638,242.56
  5. Step 5: Solve for x
    x = 623,638,242.56/10,359
  6. Step 6: Final answer
    x = 60,202.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.