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Finding the Third Proportional to 10,320.19 and 22,618.69

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Solution

The third proportional to 10,320.19 and 22,618.69 is: 49,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.19 : 22,618.69 = 22,618.69 : x
  2. Step 2: Convert to fraction form
    10,320.19/22,618.69 = 22,618.69/x
  3. Step 3: Cross multiply
    10,320.19x = 22,618.69 × 22,618.69
  4. Step 4: Simplify right side
    10,320.19x = 511,605,024.22
  5. Step 5: Solve for x
    x = 511,605,024.22/10,320.19
  6. Step 6: Final answer
    x = 49,573.23

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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.