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Finding the Third Proportional to 9,850.78 and 21,085.52

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Solution

The third proportional to 9,850.78 and 21,085.52 is: 45,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.78 : 21,085.52 = 21,085.52 : x
  2. Step 2: Convert to fraction form
    9,850.78/21,085.52 = 21,085.52/x
  3. Step 3: Cross multiply
    9,850.78x = 21,085.52 × 21,085.52
  4. Step 4: Simplify right side
    9,850.78x = 444,599,298.63
  5. Step 5: Solve for x
    x = 444,599,298.63/9,850.78
  6. Step 6: Final answer
    x = 45,133.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.