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Finding the Third Proportional to 32,130 and 69,182.44

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Solution

The third proportional to 32,130 and 69,182.44 is: 148,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,130 : 69,182.44 = 69,182.44 : x
  2. Step 2: Convert to fraction form
    32,130/69,182.44 = 69,182.44/x
  3. Step 3: Cross multiply
    32,130x = 69,182.44 × 69,182.44
  4. Step 4: Simplify right side
    32,130x = 4,786,209,658.44
  5. Step 5: Solve for x
    x = 4,786,209,658.44/32,130
  6. Step 6: Final answer
    x = 148,963.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.