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Finding the Third Proportional to 32,337.56 and 48,307.22

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Solution

The third proportional to 32,337.56 and 48,307.22 is: 72,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,337.56 : 48,307.22 = 48,307.22 : x
  2. Step 2: Convert to fraction form
    32,337.56/48,307.22 = 48,307.22/x
  3. Step 3: Cross multiply
    32,337.56x = 48,307.22 × 48,307.22
  4. Step 4: Simplify right side
    32,337.56x = 2,333,587,383.36
  5. Step 5: Solve for x
    x = 2,333,587,383.36/32,337.56
  6. Step 6: Final answer
    x = 72,163.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.