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Finding the Third Proportional to 40,439 and 94,428

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Solution

The third proportional to 40,439 and 94,428 is: 220,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,439 : 94,428 = 94,428 : x
  2. Step 2: Convert to fraction form
    40,439/94,428 = 94,428/x
  3. Step 3: Cross multiply
    40,439x = 94,428 × 94,428
  4. Step 4: Simplify right side
    40,439x = 8,916,647,184
  5. Step 5: Solve for x
    x = 8,916,647,184/40,439
  6. Step 6: Final answer
    x = 220,496.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.