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Finding the Third Proportional to 4,652 and 10,478

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Solution

The third proportional to 4,652 and 10,478 is: 23,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652 : 10,478 = 10,478 : x
  2. Step 2: Convert to fraction form
    4,652/10,478 = 10,478/x
  3. Step 3: Cross multiply
    4,652x = 10,478 × 10,478
  4. Step 4: Simplify right side
    4,652x = 109,788,484
  5. Step 5: Solve for x
    x = 109,788,484/4,652
  6. Step 6: Final answer
    x = 23,600.28

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.