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Finding the Third Proportional to 12,324.95 and 26,994.95

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Solution

The third proportional to 12,324.95 and 26,994.95 is: 59,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.95 : 26,994.95 = 26,994.95 : x
  2. Step 2: Convert to fraction form
    12,324.95/26,994.95 = 26,994.95/x
  3. Step 3: Cross multiply
    12,324.95x = 26,994.95 × 26,994.95
  4. Step 4: Simplify right side
    12,324.95x = 728,727,362.41
  5. Step 5: Solve for x
    x = 728,727,362.41/12,324.95
  6. Step 6: Final answer
    x = 59,126.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.