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Finding the Third Proportional to 48,561 and 70,980

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Solution

The third proportional to 48,561 and 70,980 is: 103,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,561 : 70,980 = 70,980 : x
  2. Step 2: Convert to fraction form
    48,561/70,980 = 70,980/x
  3. Step 3: Cross multiply
    48,561x = 70,980 × 70,980
  4. Step 4: Simplify right side
    48,561x = 5,038,160,400
  5. Step 5: Solve for x
    x = 5,038,160,400/48,561
  6. Step 6: Final answer
    x = 103,749.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.