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Finding the Third Proportional to 21,053.25 and 32,518.13

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Solution

The third proportional to 21,053.25 and 32,518.13 is: 50,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.25 : 32,518.13 = 32,518.13 : x
  2. Step 2: Convert to fraction form
    21,053.25/32,518.13 = 32,518.13/x
  3. Step 3: Cross multiply
    21,053.25x = 32,518.13 × 32,518.13
  4. Step 4: Simplify right side
    21,053.25x = 1,057,428,453.52
  5. Step 5: Solve for x
    x = 1,057,428,453.52/21,053.25
  6. Step 6: Final answer
    x = 50,226.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.