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Finding the Third Proportional to 10,223.25 and 22,058.50

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Solution

The third proportional to 10,223.25 and 22,058.50 is: 47,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.25 : 22,058.50 = 22,058.50 : x
  2. Step 2: Convert to fraction form
    10,223.25/22,058.50 = 22,058.50/x
  3. Step 3: Cross multiply
    10,223.25x = 22,058.50 × 22,058.50
  4. Step 4: Simplify right side
    10,223.25x = 486,577,422.25
  5. Step 5: Solve for x
    x = 486,577,422.25/10,223.25
  6. Step 6: Final answer
    x = 47,595.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.