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Finding the Third Proportional to 26,821.13 and 42,094.69

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Solution

The third proportional to 26,821.13 and 42,094.69 is: 66,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.13 : 42,094.69 = 42,094.69 : x
  2. Step 2: Convert to fraction form
    26,821.13/42,094.69 = 42,094.69/x
  3. Step 3: Cross multiply
    26,821.13x = 42,094.69 × 42,094.69
  4. Step 4: Simplify right side
    26,821.13x = 1,771,962,715.72
  5. Step 5: Solve for x
    x = 1,771,962,715.72/26,821.13
  6. Step 6: Final answer
    x = 66,065.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.