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Finding the Third Proportional to 9,253.83 and 20,308.01

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Solution

The third proportional to 9,253.83 and 20,308.01 is: 44,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.83 : 20,308.01 = 20,308.01 : x
  2. Step 2: Convert to fraction form
    9,253.83/20,308.01 = 20,308.01/x
  3. Step 3: Cross multiply
    9,253.83x = 20,308.01 × 20,308.01
  4. Step 4: Simplify right side
    9,253.83x = 412,415,181.31
  5. Step 5: Solve for x
    x = 412,415,181.31/9,253.83
  6. Step 6: Final answer
    x = 44,566.98

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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.