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Finding the Third Proportional to 40,778 and 64,878

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Solution

The third proportional to 40,778 and 64,878 is: 103,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,778 : 64,878 = 64,878 : x
  2. Step 2: Convert to fraction form
    40,778/64,878 = 64,878/x
  3. Step 3: Cross multiply
    40,778x = 64,878 × 64,878
  4. Step 4: Simplify right side
    40,778x = 4,209,154,884
  5. Step 5: Solve for x
    x = 4,209,154,884/40,778
  6. Step 6: Final answer
    x = 103,221.22

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.