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Finding the Third Proportional to 17,775.07 and 38,688.26

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Solution

The third proportional to 17,775.07 and 38,688.26 is: 84,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.07 : 38,688.26 = 38,688.26 : x
  2. Step 2: Convert to fraction form
    17,775.07/38,688.26 = 38,688.26/x
  3. Step 3: Cross multiply
    17,775.07x = 38,688.26 × 38,688.26
  4. Step 4: Simplify right side
    17,775.07x = 1,496,781,292.57
  5. Step 5: Solve for x
    x = 1,496,781,292.57/17,775.07
  6. Step 6: Final answer
    x = 84,206.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.