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Finding the Third Proportional to 9,810.25 and 21,250.38

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Solution

The third proportional to 9,810.25 and 21,250.38 is: 46,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.25 : 21,250.38 = 21,250.38 : x
  2. Step 2: Convert to fraction form
    9,810.25/21,250.38 = 21,250.38/x
  3. Step 3: Cross multiply
    9,810.25x = 21,250.38 × 21,250.38
  4. Step 4: Simplify right side
    9,810.25x = 451,578,437.64
  5. Step 5: Solve for x
    x = 451,578,437.64/9,810.25
  6. Step 6: Final answer
    x = 46,031.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.