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Finding the Third Proportional to 43,297.50 and 68,646

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Solution

The third proportional to 43,297.50 and 68,646 is: 108,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,297.50 : 68,646 = 68,646 : x
  2. Step 2: Convert to fraction form
    43,297.50/68,646 = 68,646/x
  3. Step 3: Cross multiply
    43,297.50x = 68,646 × 68,646
  4. Step 4: Simplify right side
    43,297.50x = 4,712,273,316
  5. Step 5: Solve for x
    x = 4,712,273,316/43,297.50
  6. Step 6: Final answer
    x = 108,834.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.