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Finding the Third Proportional to 25,574.50 and 55,307

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Solution

The third proportional to 25,574.50 and 55,307 is: 119,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.50 : 55,307 = 55,307 : x
  2. Step 2: Convert to fraction form
    25,574.50/55,307 = 55,307/x
  3. Step 3: Cross multiply
    25,574.50x = 55,307 × 55,307
  4. Step 4: Simplify right side
    25,574.50x = 3,058,864,249
  5. Step 5: Solve for x
    x = 3,058,864,249/25,574.50
  6. Step 6: Final answer
    x = 119,606.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.