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Finding the Third Proportional to 40,774.50 and 63,018

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Solution

The third proportional to 40,774.50 and 63,018 is: 97,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,774.50 : 63,018 = 63,018 : x
  2. Step 2: Convert to fraction form
    40,774.50/63,018 = 63,018/x
  3. Step 3: Cross multiply
    40,774.50x = 63,018 × 63,018
  4. Step 4: Simplify right side
    40,774.50x = 3,971,268,324
  5. Step 5: Solve for x
    x = 3,971,268,324/40,774.50
  6. Step 6: Final answer
    x = 97,395.88

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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.