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Finding the Third Proportional to 48,608 and 69,509

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Solution

The third proportional to 48,608 and 69,509 is: 99,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,608 : 69,509 = 69,509 : x
  2. Step 2: Convert to fraction form
    48,608/69,509 = 69,509/x
  3. Step 3: Cross multiply
    48,608x = 69,509 × 69,509
  4. Step 4: Simplify right side
    48,608x = 4,831,501,081
  5. Step 5: Solve for x
    x = 4,831,501,081/48,608
  6. Step 6: Final answer
    x = 99,397.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.