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Finding the Third Proportional to 7,398.21 and 16,026.61

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Solution

The third proportional to 7,398.21 and 16,026.61 is: 34,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.21 : 16,026.61 = 16,026.61 : x
  2. Step 2: Convert to fraction form
    7,398.21/16,026.61 = 16,026.61/x
  3. Step 3: Cross multiply
    7,398.21x = 16,026.61 × 16,026.61
  4. Step 4: Simplify right side
    7,398.21x = 256,852,208.06
  5. Step 5: Solve for x
    x = 256,852,208.06/7,398.21
  6. Step 6: Final answer
    x = 34,718.15

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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.