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Finding the Third Proportional to 48,773 and 72,951.50

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Solution

The third proportional to 48,773 and 72,951.50 is: 109,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,773 : 72,951.50 = 72,951.50 : x
  2. Step 2: Convert to fraction form
    48,773/72,951.50 = 72,951.50/x
  3. Step 3: Cross multiply
    48,773x = 72,951.50 × 72,951.50
  4. Step 4: Simplify right side
    48,773x = 5,321,921,352.25
  5. Step 5: Solve for x
    x = 5,321,921,352.25/48,773
  6. Step 6: Final answer
    x = 109,116.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.