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Finding the Third Proportional to 17,854.50 and 38,823

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Solution

The third proportional to 17,854.50 and 38,823 is: 84,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.50 : 38,823 = 38,823 : x
  2. Step 2: Convert to fraction form
    17,854.50/38,823 = 38,823/x
  3. Step 3: Cross multiply
    17,854.50x = 38,823 × 38,823
  4. Step 4: Simplify right side
    17,854.50x = 1,507,225,329
  5. Step 5: Solve for x
    x = 1,507,225,329/17,854.50
  6. Step 6: Final answer
    x = 84,417.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.