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Finding the Third Proportional to 24,901 and 53,578

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Solution

The third proportional to 24,901 and 53,578 is: 115,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,901 : 53,578 = 53,578 : x
  2. Step 2: Convert to fraction form
    24,901/53,578 = 53,578/x
  3. Step 3: Cross multiply
    24,901x = 53,578 × 53,578
  4. Step 4: Simplify right side
    24,901x = 2,870,602,084
  5. Step 5: Solve for x
    x = 2,870,602,084/24,901
  6. Step 6: Final answer
    x = 115,280.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.