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Finding the Third Proportional to 20,254.22 and 31,528.13

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Solution

The third proportional to 20,254.22 and 31,528.13 is: 49,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.22 : 31,528.13 = 31,528.13 : x
  2. Step 2: Convert to fraction form
    20,254.22/31,528.13 = 31,528.13/x
  3. Step 3: Cross multiply
    20,254.22x = 31,528.13 × 31,528.13
  4. Step 4: Simplify right side
    20,254.22x = 994,022,666.02
  5. Step 5: Solve for x
    x = 994,022,666.02/20,254.22
  6. Step 6: Final answer
    x = 49,077.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.