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Finding the Third Proportional to 48,478.50 and 65,468.25

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Solution

The third proportional to 48,478.50 and 65,468.25 is: 88,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,478.50 : 65,468.25 = 65,468.25 : x
  2. Step 2: Convert to fraction form
    48,478.50/65,468.25 = 65,468.25/x
  3. Step 3: Cross multiply
    48,478.50x = 65,468.25 × 65,468.25
  4. Step 4: Simplify right side
    48,478.50x = 4,286,091,758.06
  5. Step 5: Solve for x
    x = 4,286,091,758.06/48,478.50
  6. Step 6: Final answer
    x = 88,412.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.