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Finding the Third Proportional to 9,051.75 and 24,325.31

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Solution

The third proportional to 9,051.75 and 24,325.31 is: 65,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.75 : 24,325.31 = 24,325.31 : x
  2. Step 2: Convert to fraction form
    9,051.75/24,325.31 = 24,325.31/x
  3. Step 3: Cross multiply
    9,051.75x = 24,325.31 × 24,325.31
  4. Step 4: Simplify right side
    9,051.75x = 591,720,828.22
  5. Step 5: Solve for x
    x = 591,720,828.22/9,051.75
  6. Step 6: Final answer
    x = 65,370.88

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.