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Finding the Third Proportional to 28,812 and 42,115.50

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Solution

The third proportional to 28,812 and 42,115.50 is: 61,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,812 : 42,115.50 = 42,115.50 : x
  2. Step 2: Convert to fraction form
    28,812/42,115.50 = 42,115.50/x
  3. Step 3: Cross multiply
    28,812x = 42,115.50 × 42,115.50
  4. Step 4: Simplify right side
    28,812x = 1,773,715,340.25
  5. Step 5: Solve for x
    x = 1,773,715,340.25/28,812
  6. Step 6: Final answer
    x = 61,561.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.