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Finding the Third Proportional to 40,328 and 59,084

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Solution

The third proportional to 40,328 and 59,084 is: 86,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,328 : 59,084 = 59,084 : x
  2. Step 2: Convert to fraction form
    40,328/59,084 = 59,084/x
  3. Step 3: Cross multiply
    40,328x = 59,084 × 59,084
  4. Step 4: Simplify right side
    40,328x = 3,490,919,056
  5. Step 5: Solve for x
    x = 3,490,919,056/40,328
  6. Step 6: Final answer
    x = 86,563.16

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Why These Related Problems?

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