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Finding the Third Proportional to 8,434.76 and 12,834.39

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Solution

The third proportional to 8,434.76 and 12,834.39 is: 19,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.76 : 12,834.39 = 12,834.39 : x
  2. Step 2: Convert to fraction form
    8,434.76/12,834.39 = 12,834.39/x
  3. Step 3: Cross multiply
    8,434.76x = 12,834.39 × 12,834.39
  4. Step 4: Simplify right side
    8,434.76x = 164,721,482.45
  5. Step 5: Solve for x
    x = 164,721,482.45/8,434.76
  6. Step 6: Final answer
    x = 19,528.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.