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Finding the Third Proportional to 29,763 and 65,478

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Solution

The third proportional to 29,763 and 65,478 is: 144,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,763 : 65,478 = 65,478 : x
  2. Step 2: Convert to fraction form
    29,763/65,478 = 65,478/x
  3. Step 3: Cross multiply
    29,763x = 65,478 × 65,478
  4. Step 4: Simplify right side
    29,763x = 4,287,368,484
  5. Step 5: Solve for x
    x = 4,287,368,484/29,763
  6. Step 6: Final answer
    x = 144,050.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.