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Finding the Third Proportional to 49,716 and 69,510

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Solution

The third proportional to 49,716 and 69,510 is: 97,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716 : 69,510 = 69,510 : x
  2. Step 2: Convert to fraction form
    49,716/69,510 = 69,510/x
  3. Step 3: Cross multiply
    49,716x = 69,510 × 69,510
  4. Step 4: Simplify right side
    49,716x = 4,831,640,100
  5. Step 5: Solve for x
    x = 4,831,640,100/49,716
  6. Step 6: Final answer
    x = 97,184.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.