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Finding the Third Proportional to 7,300.13 and 16,026.19

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Solution

The third proportional to 7,300.13 and 16,026.19 is: 35,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.13 : 16,026.19 = 16,026.19 : x
  2. Step 2: Convert to fraction form
    7,300.13/16,026.19 = 16,026.19/x
  3. Step 3: Cross multiply
    7,300.13x = 16,026.19 × 16,026.19
  4. Step 4: Simplify right side
    7,300.13x = 256,838,685.79
  5. Step 5: Solve for x
    x = 256,838,685.79/7,300.13
  6. Step 6: Final answer
    x = 35,182.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.