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Finding the Third Proportional to 27,190.69 and 40,948.03

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Solution

The third proportional to 27,190.69 and 40,948.03 is: 61,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190.69 : 40,948.03 = 40,948.03 : x
  2. Step 2: Convert to fraction form
    27,190.69/40,948.03 = 40,948.03/x
  3. Step 3: Cross multiply
    27,190.69x = 40,948.03 × 40,948.03
  4. Step 4: Simplify right side
    27,190.69x = 1,676,741,263.25
  5. Step 5: Solve for x
    x = 1,676,741,263.25/27,190.69
  6. Step 6: Final answer
    x = 61,666.01

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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.