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Finding the Third Proportional to 12,641.06 and 23,522.91

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Solution

The third proportional to 12,641.06 and 23,522.91 is: 43,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.06 : 23,522.91 = 23,522.91 : x
  2. Step 2: Convert to fraction form
    12,641.06/23,522.91 = 23,522.91/x
  3. Step 3: Cross multiply
    12,641.06x = 23,522.91 × 23,522.91
  4. Step 4: Simplify right side
    12,641.06x = 553,327,118.45
  5. Step 5: Solve for x
    x = 553,327,118.45/12,641.06
  6. Step 6: Final answer
    x = 43,772.20

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.