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Finding the Third Proportional to 24,750 and 59,820

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Solution

The third proportional to 24,750 and 59,820 is: 144,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750 : 59,820 = 59,820 : x
  2. Step 2: Convert to fraction form
    24,750/59,820 = 59,820/x
  3. Step 3: Cross multiply
    24,750x = 59,820 × 59,820
  4. Step 4: Simplify right side
    24,750x = 3,578,432,400
  5. Step 5: Solve for x
    x = 3,578,432,400/24,750
  6. Step 6: Final answer
    x = 144,583.13

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.