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Finding the Third Proportional to 40,484 and 85,369

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Solution

The third proportional to 40,484 and 85,369 is: 180,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,484 : 85,369 = 85,369 : x
  2. Step 2: Convert to fraction form
    40,484/85,369 = 85,369/x
  3. Step 3: Cross multiply
    40,484x = 85,369 × 85,369
  4. Step 4: Simplify right side
    40,484x = 7,287,866,161
  5. Step 5: Solve for x
    x = 7,287,866,161/40,484
  6. Step 6: Final answer
    x = 180,018.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.