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Finding the Third Proportional to 9,748.69 and 21,205.13

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Solution

The third proportional to 9,748.69 and 21,205.13 is: 46,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.69 : 21,205.13 = 21,205.13 : x
  2. Step 2: Convert to fraction form
    9,748.69/21,205.13 = 21,205.13/x
  3. Step 3: Cross multiply
    9,748.69x = 21,205.13 × 21,205.13
  4. Step 4: Simplify right side
    9,748.69x = 449,657,326.27
  5. Step 5: Solve for x
    x = 449,657,326.27/9,748.69
  6. Step 6: Final answer
    x = 46,124.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.