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Finding the Third Proportional to 48,645 and 71,212.50

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Solution

The third proportional to 48,645 and 71,212.50 is: 104,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645 : 71,212.50 = 71,212.50 : x
  2. Step 2: Convert to fraction form
    48,645/71,212.50 = 71,212.50/x
  3. Step 3: Cross multiply
    48,645x = 71,212.50 × 71,212.50
  4. Step 4: Simplify right side
    48,645x = 5,071,220,156.25
  5. Step 5: Solve for x
    x = 5,071,220,156.25/48,645
  6. Step 6: Final answer
    x = 104,249.57

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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.