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Finding the Third Proportional to 38,166.19 and 57,666.94

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Solution

The third proportional to 38,166.19 and 57,666.94 is: 87,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.19 : 57,666.94 = 57,666.94 : x
  2. Step 2: Convert to fraction form
    38,166.19/57,666.94 = 57,666.94/x
  3. Step 3: Cross multiply
    38,166.19x = 57,666.94 × 57,666.94
  4. Step 4: Simplify right side
    38,166.19x = 3,325,475,680.63
  5. Step 5: Solve for x
    x = 3,325,475,680.63/38,166.19
  6. Step 6: Final answer
    x = 87,131.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.