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Finding the Third Proportional to 8,434.76 and 18,037.05

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Solution

The third proportional to 8,434.76 and 18,037.05 is: 38,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.76 : 18,037.05 = 18,037.05 : x
  2. Step 2: Convert to fraction form
    8,434.76/18,037.05 = 18,037.05/x
  3. Step 3: Cross multiply
    8,434.76x = 18,037.05 × 18,037.05
  4. Step 4: Simplify right side
    8,434.76x = 325,335,341.80
  5. Step 5: Solve for x
    x = 325,335,341.80/8,434.76
  6. Step 6: Final answer
    x = 38,570.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.