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Finding the Third Proportional to 34,473 and 48,781.50

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Solution

The third proportional to 34,473 and 48,781.50 is: 69,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,473 : 48,781.50 = 48,781.50 : x
  2. Step 2: Convert to fraction form
    34,473/48,781.50 = 48,781.50/x
  3. Step 3: Cross multiply
    34,473x = 48,781.50 × 48,781.50
  4. Step 4: Simplify right side
    34,473x = 2,379,634,742.25
  5. Step 5: Solve for x
    x = 2,379,634,742.25/34,473
  6. Step 6: Final answer
    x = 69,028.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.