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Finding the Third Proportional to 48,977 and 72,745

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Solution

The third proportional to 48,977 and 72,745 is: 108,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,977 : 72,745 = 72,745 : x
  2. Step 2: Convert to fraction form
    48,977/72,745 = 72,745/x
  3. Step 3: Cross multiply
    48,977x = 72,745 × 72,745
  4. Step 4: Simplify right side
    48,977x = 5,291,835,025
  5. Step 5: Solve for x
    x = 5,291,835,025/48,977
  6. Step 6: Final answer
    x = 108,047.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.