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Finding the Third Proportional to 48,594 and 74,961.75

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Solution

The third proportional to 48,594 and 74,961.75 is: 115,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,594 : 74,961.75 = 74,961.75 : x
  2. Step 2: Convert to fraction form
    48,594/74,961.75 = 74,961.75/x
  3. Step 3: Cross multiply
    48,594x = 74,961.75 × 74,961.75
  4. Step 4: Simplify right side
    48,594x = 5,619,263,963.06
  5. Step 5: Solve for x
    x = 5,619,263,963.06/48,594
  6. Step 6: Final answer
    x = 115,636.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.