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Finding the Third Proportional to 39,970 and 57,744.88

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Solution

The third proportional to 39,970 and 57,744.88 is: 83,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970 : 57,744.88 = 57,744.88 : x
  2. Step 2: Convert to fraction form
    39,970/57,744.88 = 57,744.88/x
  3. Step 3: Cross multiply
    39,970x = 57,744.88 × 57,744.88
  4. Step 4: Simplify right side
    39,970x = 3,334,470,588.77
  5. Step 5: Solve for x
    x = 3,334,470,588.77/39,970
  6. Step 6: Final answer
    x = 83,424.33

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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.