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Finding the Third Proportional to 40,788 and 55,038

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Solution

The third proportional to 40,788 and 55,038 is: 74,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,788 : 55,038 = 55,038 : x
  2. Step 2: Convert to fraction form
    40,788/55,038 = 55,038/x
  3. Step 3: Cross multiply
    40,788x = 55,038 × 55,038
  4. Step 4: Simplify right side
    40,788x = 3,029,181,444
  5. Step 5: Solve for x
    x = 3,029,181,444/40,788
  6. Step 6: Final answer
    x = 74,266.49

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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.