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Finding the Third Proportional to 48,605.50 and 69,506

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Solution

The third proportional to 48,605.50 and 69,506 is: 99,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,605.50 : 69,506 = 69,506 : x
  2. Step 2: Convert to fraction form
    48,605.50/69,506 = 69,506/x
  3. Step 3: Cross multiply
    48,605.50x = 69,506 × 69,506
  4. Step 4: Simplify right side
    48,605.50x = 4,831,084,036
  5. Step 5: Solve for x
    x = 4,831,084,036/48,605.50
  6. Step 6: Final answer
    x = 99,393.77

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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.