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Finding the Third Proportional to 38,004.19 and 57,006.28

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Solution

The third proportional to 38,004.19 and 57,006.28 is: 85,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.19 : 57,006.28 = 57,006.28 : x
  2. Step 2: Convert to fraction form
    38,004.19/57,006.28 = 57,006.28/x
  3. Step 3: Cross multiply
    38,004.19x = 57,006.28 × 57,006.28
  4. Step 4: Simplify right side
    38,004.19x = 3,249,716,101.95
  5. Step 5: Solve for x
    x = 3,249,716,101.95/38,004.19
  6. Step 6: Final answer
    x = 85,509.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.