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Finding the Third Proportional to 23,024.06 and 34,393.88

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Solution

The third proportional to 23,024.06 and 34,393.88 is: 51,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.06 : 34,393.88 = 34,393.88 : x
  2. Step 2: Convert to fraction form
    23,024.06/34,393.88 = 34,393.88/x
  3. Step 3: Cross multiply
    23,024.06x = 34,393.88 × 34,393.88
  4. Step 4: Simplify right side
    23,024.06x = 1,182,938,637.52
  5. Step 5: Solve for x
    x = 1,182,938,637.52/23,024.06
  6. Step 6: Final answer
    x = 51,378.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.