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Finding the Third Proportional to 9,621.38 and 14,460.38

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Solution

The third proportional to 9,621.38 and 14,460.38 is: 21,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.38 : 14,460.38 = 14,460.38 : x
  2. Step 2: Convert to fraction form
    9,621.38/14,460.38 = 14,460.38/x
  3. Step 3: Cross multiply
    9,621.38x = 14,460.38 × 14,460.38
  4. Step 4: Simplify right side
    9,621.38x = 209,102,445.14
  5. Step 5: Solve for x
    x = 209,102,445.14/9,621.38
  6. Step 6: Final answer
    x = 21,733.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.