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Finding the Third Proportional to 38,862.75 and 57,473.63

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Solution

The third proportional to 38,862.75 and 57,473.63 is: 84,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862.75 : 57,473.63 = 57,473.63 : x
  2. Step 2: Convert to fraction form
    38,862.75/57,473.63 = 57,473.63/x
  3. Step 3: Cross multiply
    38,862.75x = 57,473.63 × 57,473.63
  4. Step 4: Simplify right side
    38,862.75x = 3,303,217,570.64
  5. Step 5: Solve for x
    x = 3,303,217,570.64/38,862.75
  6. Step 6: Final answer
    x = 84,997.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.