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Finding the Third Proportional to 27,160 and 40,736

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Solution

The third proportional to 27,160 and 40,736 is: 61,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160 : 40,736 = 40,736 : x
  2. Step 2: Convert to fraction form
    27,160/40,736 = 40,736/x
  3. Step 3: Cross multiply
    27,160x = 40,736 × 40,736
  4. Step 4: Simplify right side
    27,160x = 1,659,421,696
  5. Step 5: Solve for x
    x = 1,659,421,696/27,160
  6. Step 6: Final answer
    x = 61,098.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.