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Finding the Third Proportional to 27,317 and 43,437

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Solution

The third proportional to 27,317 and 43,437 is: 69,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,317 : 43,437 = 43,437 : x
  2. Step 2: Convert to fraction form
    27,317/43,437 = 43,437/x
  3. Step 3: Cross multiply
    27,317x = 43,437 × 43,437
  4. Step 4: Simplify right side
    27,317x = 1,886,772,969
  5. Step 5: Solve for x
    x = 1,886,772,969/27,317
  6. Step 6: Final answer
    x = 69,069.55

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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.