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Finding the Third Proportional to 14,768.34 and 22,425.56

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Solution

The third proportional to 14,768.34 and 22,425.56 is: 34,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.34 : 22,425.56 = 22,425.56 : x
  2. Step 2: Convert to fraction form
    14,768.34/22,425.56 = 22,425.56/x
  3. Step 3: Cross multiply
    14,768.34x = 22,425.56 × 22,425.56
  4. Step 4: Simplify right side
    14,768.34x = 502,905,853.44
  5. Step 5: Solve for x
    x = 502,905,853.44/14,768.34
  6. Step 6: Final answer
    x = 34,052.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.