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Finding the Third Proportional to 10,478 and 22,596

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Solution

The third proportional to 10,478 and 22,596 is: 48,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478 : 22,596 = 22,596 : x
  2. Step 2: Convert to fraction form
    10,478/22,596 = 22,596/x
  3. Step 3: Cross multiply
    10,478x = 22,596 × 22,596
  4. Step 4: Simplify right side
    10,478x = 510,579,216
  5. Step 5: Solve for x
    x = 510,579,216/10,478
  6. Step 6: Final answer
    x = 48,728.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.