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Finding the Third Proportional to 32,784.75 and 70,232.06

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Solution

The third proportional to 32,784.75 and 70,232.06 is: 150,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.75 : 70,232.06 = 70,232.06 : x
  2. Step 2: Convert to fraction form
    32,784.75/70,232.06 = 70,232.06/x
  3. Step 3: Cross multiply
    32,784.75x = 70,232.06 × 70,232.06
  4. Step 4: Simplify right side
    32,784.75x = 4,932,542,603.00
  5. Step 5: Solve for x
    x = 4,932,542,603.00/32,784.75
  6. Step 6: Final answer
    x = 150,452.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.