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Finding the Third Proportional to 27,029.95 and 41,570.09

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Solution

The third proportional to 27,029.95 and 41,570.09 is: 63,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.95 : 41,570.09 = 41,570.09 : x
  2. Step 2: Convert to fraction form
    27,029.95/41,570.09 = 41,570.09/x
  3. Step 3: Cross multiply
    27,029.95x = 41,570.09 × 41,570.09
  4. Step 4: Simplify right side
    27,029.95x = 1,728,072,044.85
  5. Step 5: Solve for x
    x = 1,728,072,044.85/27,029.95
  6. Step 6: Final answer
    x = 63,931.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.