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Finding the Third Proportional to 48,774 and 71,302.50

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Solution

The third proportional to 48,774 and 71,302.50 is: 104,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,774 : 71,302.50 = 71,302.50 : x
  2. Step 2: Convert to fraction form
    48,774/71,302.50 = 71,302.50/x
  3. Step 3: Cross multiply
    48,774x = 71,302.50 × 71,302.50
  4. Step 4: Simplify right side
    48,774x = 5,084,046,506.25
  5. Step 5: Solve for x
    x = 5,084,046,506.25/48,774
  6. Step 6: Final answer
    x = 104,236.82

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