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Finding the Third Proportional to 7,826.25 and 17,402.25

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Solution

The third proportional to 7,826.25 and 17,402.25 is: 38,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.25 : 17,402.25 = 17,402.25 : x
  2. Step 2: Convert to fraction form
    7,826.25/17,402.25 = 17,402.25/x
  3. Step 3: Cross multiply
    7,826.25x = 17,402.25 × 17,402.25
  4. Step 4: Simplify right side
    7,826.25x = 302,838,305.06
  5. Step 5: Solve for x
    x = 302,838,305.06/7,826.25
  6. Step 6: Final answer
    x = 38,695.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.