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Finding the Third Proportional to 40,897 and 59,995

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Solution

The third proportional to 40,897 and 59,995 is: 88,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,897 : 59,995 = 59,995 : x
  2. Step 2: Convert to fraction form
    40,897/59,995 = 59,995/x
  3. Step 3: Cross multiply
    40,897x = 59,995 × 59,995
  4. Step 4: Simplify right side
    40,897x = 3,599,400,025
  5. Step 5: Solve for x
    x = 3,599,400,025/40,897
  6. Step 6: Final answer
    x = 88,011.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.