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Finding the Third Proportional to 9,807.33 and 21,182.77

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Solution

The third proportional to 9,807.33 and 21,182.77 is: 45,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.33 : 21,182.77 = 21,182.77 : x
  2. Step 2: Convert to fraction form
    9,807.33/21,182.77 = 21,182.77/x
  3. Step 3: Cross multiply
    9,807.33x = 21,182.77 × 21,182.77
  4. Step 4: Simplify right side
    9,807.33x = 448,709,559.52
  5. Step 5: Solve for x
    x = 448,709,559.52/9,807.33
  6. Step 6: Final answer
    x = 45,752.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.