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Finding the Third Proportional to 7,305.19 and 16,444.69

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Solution

The third proportional to 7,305.19 and 16,444.69 is: 37,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.19 : 16,444.69 = 16,444.69 : x
  2. Step 2: Convert to fraction form
    7,305.19/16,444.69 = 16,444.69/x
  3. Step 3: Cross multiply
    7,305.19x = 16,444.69 × 16,444.69
  4. Step 4: Simplify right side
    7,305.19x = 270,427,746.97
  5. Step 5: Solve for x
    x = 270,427,746.97/7,305.19
  6. Step 6: Final answer
    x = 37,018.59

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.