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Finding the Third Proportional to 15,506.81 and 22,149.75

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Solution

The third proportional to 15,506.81 and 22,149.75 is: 31,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.81 : 22,149.75 = 22,149.75 : x
  2. Step 2: Convert to fraction form
    15,506.81/22,149.75 = 22,149.75/x
  3. Step 3: Cross multiply
    15,506.81x = 22,149.75 × 22,149.75
  4. Step 4: Simplify right side
    15,506.81x = 490,611,425.06
  5. Step 5: Solve for x
    x = 490,611,425.06/15,506.81
  6. Step 6: Final answer
    x = 31,638.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.