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Finding the Third Proportional to 10,510 and 24,557

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Solution

The third proportional to 10,510 and 24,557 is: 57,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510 : 24,557 = 24,557 : x
  2. Step 2: Convert to fraction form
    10,510/24,557 = 24,557/x
  3. Step 3: Cross multiply
    10,510x = 24,557 × 24,557
  4. Step 4: Simplify right side
    10,510x = 603,046,249
  5. Step 5: Solve for x
    x = 603,046,249/10,510
  6. Step 6: Final answer
    x = 57,378.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.