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Finding the Third Proportional to 14,271.19 and 22,216.78

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Solution

The third proportional to 14,271.19 and 22,216.78 is: 34,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.19 : 22,216.78 = 22,216.78 : x
  2. Step 2: Convert to fraction form
    14,271.19/22,216.78 = 22,216.78/x
  3. Step 3: Cross multiply
    14,271.19x = 22,216.78 × 22,216.78
  4. Step 4: Simplify right side
    14,271.19x = 493,585,369.11
  5. Step 5: Solve for x
    x = 493,585,369.11/14,271.19
  6. Step 6: Final answer
    x = 34,586.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.