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Finding the Third Proportional to 15,968 and 24,510

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Solution

The third proportional to 15,968 and 24,510 is: 37,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,968 : 24,510 = 24,510 : x
  2. Step 2: Convert to fraction form
    15,968/24,510 = 24,510/x
  3. Step 3: Cross multiply
    15,968x = 24,510 × 24,510
  4. Step 4: Simplify right side
    15,968x = 600,740,100
  5. Step 5: Solve for x
    x = 600,740,100/15,968
  6. Step 6: Final answer
    x = 37,621.50

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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.