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Finding the Third Proportional to 17,502.19 and 38,406.56

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Solution

The third proportional to 17,502.19 and 38,406.56 is: 84,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502.19 : 38,406.56 = 38,406.56 : x
  2. Step 2: Convert to fraction form
    17,502.19/38,406.56 = 38,406.56/x
  3. Step 3: Cross multiply
    17,502.19x = 38,406.56 × 38,406.56
  4. Step 4: Simplify right side
    17,502.19x = 1,475,064,043.07
  5. Step 5: Solve for x
    x = 1,475,064,043.07/17,502.19
  6. Step 6: Final answer
    x = 84,278.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.