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Finding the Third Proportional to 7,224.19 and 15,521.63

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Solution

The third proportional to 7,224.19 and 15,521.63 is: 33,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.19 : 15,521.63 = 15,521.63 : x
  2. Step 2: Convert to fraction form
    7,224.19/15,521.63 = 15,521.63/x
  3. Step 3: Cross multiply
    7,224.19x = 15,521.63 × 15,521.63
  4. Step 4: Simplify right side
    7,224.19x = 240,920,842.64
  5. Step 5: Solve for x
    x = 240,920,842.64/7,224.19
  6. Step 6: Final answer
    x = 33,349.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.