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Finding the Third Proportional to 24,746 and 53,596

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Solution

The third proportional to 24,746 and 53,596 is: 116,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746 : 53,596 = 53,596 : x
  2. Step 2: Convert to fraction form
    24,746/53,596 = 53,596/x
  3. Step 3: Cross multiply
    24,746x = 53,596 × 53,596
  4. Step 4: Simplify right side
    24,746x = 2,872,531,216
  5. Step 5: Solve for x
    x = 2,872,531,216/24,746
  6. Step 6: Final answer
    x = 116,080.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.