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Finding the Third Proportional to 9,732.66 and 21,370.08

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Solution

The third proportional to 9,732.66 and 21,370.08 is: 46,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.66 : 21,370.08 = 21,370.08 : x
  2. Step 2: Convert to fraction form
    9,732.66/21,370.08 = 21,370.08/x
  3. Step 3: Cross multiply
    9,732.66x = 21,370.08 × 21,370.08
  4. Step 4: Simplify right side
    9,732.66x = 456,680,239.07
  5. Step 5: Solve for x
    x = 456,680,239.07/9,732.66
  6. Step 6: Final answer
    x = 46,922.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.