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Finding the Third Proportional to 27,999 and 42,810

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Solution

The third proportional to 27,999 and 42,810 is: 65,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999 : 42,810 = 42,810 : x
  2. Step 2: Convert to fraction form
    27,999/42,810 = 42,810/x
  3. Step 3: Cross multiply
    27,999x = 42,810 × 42,810
  4. Step 4: Simplify right side
    27,999x = 1,832,696,100
  5. Step 5: Solve for x
    x = 1,832,696,100/27,999
  6. Step 6: Final answer
    x = 65,455.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.