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Finding the Third Proportional to 43,280 and 65,388

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Solution

The third proportional to 43,280 and 65,388 is: 98,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,280 : 65,388 = 65,388 : x
  2. Step 2: Convert to fraction form
    43,280/65,388 = 65,388/x
  3. Step 3: Cross multiply
    43,280x = 65,388 × 65,388
  4. Step 4: Simplify right side
    43,280x = 4,275,590,544
  5. Step 5: Solve for x
    x = 4,275,590,544/43,280
  6. Step 6: Final answer
    x = 98,789.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.