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Finding the Third Proportional to 12,165.19 and 25,822.55

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Solution

The third proportional to 12,165.19 and 25,822.55 is: 54,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 25,822.55 = 25,822.55 : x
  2. Step 2: Convert to fraction form
    12,165.19/25,822.55 = 25,822.55/x
  3. Step 3: Cross multiply
    12,165.19x = 25,822.55 × 25,822.55
  4. Step 4: Simplify right side
    12,165.19x = 666,803,927.11
  5. Step 5: Solve for x
    x = 666,803,927.11/12,165.19
  6. Step 6: Final answer
    x = 54,812.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.