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Finding the Third Proportional to 45,882 and 69,295.50

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Solution

The third proportional to 45,882 and 69,295.50 is: 104,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,882 : 69,295.50 = 69,295.50 : x
  2. Step 2: Convert to fraction form
    45,882/69,295.50 = 69,295.50/x
  3. Step 3: Cross multiply
    45,882x = 69,295.50 × 69,295.50
  4. Step 4: Simplify right side
    45,882x = 4,801,866,320.25
  5. Step 5: Solve for x
    x = 4,801,866,320.25/45,882
  6. Step 6: Final answer
    x = 104,656.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.