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Finding the Third Proportional to 48,385 and 74,764.50

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Solution

The third proportional to 48,385 and 74,764.50 is: 115,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,385 : 74,764.50 = 74,764.50 : x
  2. Step 2: Convert to fraction form
    48,385/74,764.50 = 74,764.50/x
  3. Step 3: Cross multiply
    48,385x = 74,764.50 × 74,764.50
  4. Step 4: Simplify right side
    48,385x = 5,589,730,460.25
  5. Step 5: Solve for x
    x = 5,589,730,460.25/48,385
  6. Step 6: Final answer
    x = 115,526.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.