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Finding the Third Proportional to 8,348.62 and 17,386.01

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Solution

The third proportional to 8,348.62 and 17,386.01 is: 36,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.62 : 17,386.01 = 17,386.01 : x
  2. Step 2: Convert to fraction form
    8,348.62/17,386.01 = 17,386.01/x
  3. Step 3: Cross multiply
    8,348.62x = 17,386.01 × 17,386.01
  4. Step 4: Simplify right side
    8,348.62x = 302,273,318.59
  5. Step 5: Solve for x
    x = 302,273,318.59/8,348.62
  6. Step 6: Final answer
    x = 36,206.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.