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Finding the Third Proportional to 24,240 and 35,559

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Solution

The third proportional to 24,240 and 35,559 is: 52,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,240 : 35,559 = 35,559 : x
  2. Step 2: Convert to fraction form
    24,240/35,559 = 35,559/x
  3. Step 3: Cross multiply
    24,240x = 35,559 × 35,559
  4. Step 4: Simplify right side
    24,240x = 1,264,442,481
  5. Step 5: Solve for x
    x = 1,264,442,481/24,240
  6. Step 6: Final answer
    x = 52,163.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.