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Finding the Third Proportional to 10,308.52 and 21,573.84

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Solution

The third proportional to 10,308.52 and 21,573.84 is: 45,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.52 : 21,573.84 = 21,573.84 : x
  2. Step 2: Convert to fraction form
    10,308.52/21,573.84 = 21,573.84/x
  3. Step 3: Cross multiply
    10,308.52x = 21,573.84 × 21,573.84
  4. Step 4: Simplify right side
    10,308.52x = 465,430,734.15
  5. Step 5: Solve for x
    x = 465,430,734.15/10,308.52
  6. Step 6: Final answer
    x = 45,150.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.