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Finding the Third Proportional to 48,482.25 and 74,884.50

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Solution

The third proportional to 48,482.25 and 74,884.50 is: 115,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,482.25 : 74,884.50 = 74,884.50 : x
  2. Step 2: Convert to fraction form
    48,482.25/74,884.50 = 74,884.50/x
  3. Step 3: Cross multiply
    48,482.25x = 74,884.50 × 74,884.50
  4. Step 4: Simplify right side
    48,482.25x = 5,607,688,340.25
  5. Step 5: Solve for x
    x = 5,607,688,340.25/48,482.25
  6. Step 6: Final answer
    x = 115,664.77

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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.