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Finding the Third Proportional to 45,787 and 69,562

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Solution

The third proportional to 45,787 and 69,562 is: 105,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,787 : 69,562 = 69,562 : x
  2. Step 2: Convert to fraction form
    45,787/69,562 = 69,562/x
  3. Step 3: Cross multiply
    45,787x = 69,562 × 69,562
  4. Step 4: Simplify right side
    45,787x = 4,838,871,844
  5. Step 5: Solve for x
    x = 4,838,871,844/45,787
  6. Step 6: Final answer
    x = 105,682.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.