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Finding the Third Proportional to 9,377.02 and 14,515.45

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Solution

The third proportional to 9,377.02 and 14,515.45 is: 22,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.02 : 14,515.45 = 14,515.45 : x
  2. Step 2: Convert to fraction form
    9,377.02/14,515.45 = 14,515.45/x
  3. Step 3: Cross multiply
    9,377.02x = 14,515.45 × 14,515.45
  4. Step 4: Simplify right side
    9,377.02x = 210,698,379.42
  5. Step 5: Solve for x
    x = 210,698,379.42/9,377.02
  6. Step 6: Final answer
    x = 22,469.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.