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Finding the Third Proportional to 15,720 and 24,084

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Solution

The third proportional to 15,720 and 24,084 is: 36,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720 : 24,084 = 24,084 : x
  2. Step 2: Convert to fraction form
    15,720/24,084 = 24,084/x
  3. Step 3: Cross multiply
    15,720x = 24,084 × 24,084
  4. Step 4: Simplify right side
    15,720x = 580,039,056
  5. Step 5: Solve for x
    x = 580,039,056/15,720
  6. Step 6: Final answer
    x = 36,898.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.