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Finding the Third Proportional to 48,672 and 69,596

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Solution

The third proportional to 48,672 and 69,596 is: 99,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,672 : 69,596 = 69,596 : x
  2. Step 2: Convert to fraction form
    48,672/69,596 = 69,596/x
  3. Step 3: Cross multiply
    48,672x = 69,596 × 69,596
  4. Step 4: Simplify right side
    48,672x = 4,843,603,216
  5. Step 5: Solve for x
    x = 4,843,603,216/48,672
  6. Step 6: Final answer
    x = 99,515.19

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