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Finding the Third Proportional to 23,032.32 and 35,277.48

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Solution

The third proportional to 23,032.32 and 35,277.48 is: 54,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.32 : 35,277.48 = 35,277.48 : x
  2. Step 2: Convert to fraction form
    23,032.32/35,277.48 = 35,277.48/x
  3. Step 3: Cross multiply
    23,032.32x = 35,277.48 × 35,277.48
  4. Step 4: Simplify right side
    23,032.32x = 1,244,500,421.52
  5. Step 5: Solve for x
    x = 1,244,500,421.52/23,032.32
  6. Step 6: Final answer
    x = 54,032.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.