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Finding the Third Proportional to 48,282 and 74,612.50

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Solution

The third proportional to 48,282 and 74,612.50 is: 115,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,282 : 74,612.50 = 74,612.50 : x
  2. Step 2: Convert to fraction form
    48,282/74,612.50 = 74,612.50/x
  3. Step 3: Cross multiply
    48,282x = 74,612.50 × 74,612.50
  4. Step 4: Simplify right side
    48,282x = 5,567,025,156.25
  5. Step 5: Solve for x
    x = 5,567,025,156.25/48,282
  6. Step 6: Final answer
    x = 115,302.29

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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.