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Finding the Third Proportional to 38,159.25 and 56,135.25

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Solution

The third proportional to 38,159.25 and 56,135.25 is: 82,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,159.25 : 56,135.25 = 56,135.25 : x
  2. Step 2: Convert to fraction form
    38,159.25/56,135.25 = 56,135.25/x
  3. Step 3: Cross multiply
    38,159.25x = 56,135.25 × 56,135.25
  4. Step 4: Simplify right side
    38,159.25x = 3,151,166,292.56
  5. Step 5: Solve for x
    x = 3,151,166,292.56/38,159.25
  6. Step 6: Final answer
    x = 82,579.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.