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Finding the Third Proportional to 40,044 and 57,682

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Solution

The third proportional to 40,044 and 57,682 is: 83,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,044 : 57,682 = 57,682 : x
  2. Step 2: Convert to fraction form
    40,044/57,682 = 57,682/x
  3. Step 3: Cross multiply
    40,044x = 57,682 × 57,682
  4. Step 4: Simplify right side
    40,044x = 3,327,213,124
  5. Step 5: Solve for x
    x = 3,327,213,124/40,044
  6. Step 6: Final answer
    x = 83,088.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.