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Finding the Third Proportional to 9,352.13 and 21,652.31

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Solution

The third proportional to 9,352.13 and 21,652.31 is: 50,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.13 : 21,652.31 = 21,652.31 : x
  2. Step 2: Convert to fraction form
    9,352.13/21,652.31 = 21,652.31/x
  3. Step 3: Cross multiply
    9,352.13x = 21,652.31 × 21,652.31
  4. Step 4: Simplify right side
    9,352.13x = 468,822,636.60
  5. Step 5: Solve for x
    x = 468,822,636.60/9,352.13
  6. Step 6: Final answer
    x = 50,130.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.