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Finding the Third Proportional to 9,713.36 and 21,269.14

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Solution

The third proportional to 9,713.36 and 21,269.14 is: 46,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.36 : 21,269.14 = 21,269.14 : x
  2. Step 2: Convert to fraction form
    9,713.36/21,269.14 = 21,269.14/x
  3. Step 3: Cross multiply
    9,713.36x = 21,269.14 × 21,269.14
  4. Step 4: Simplify right side
    9,713.36x = 452,376,509.09
  5. Step 5: Solve for x
    x = 452,376,509.09/9,713.36
  6. Step 6: Final answer
    x = 46,572.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.