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Finding the Third Proportional to 31,561.52 and 67,556.37

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Solution

The third proportional to 31,561.52 and 67,556.37 is: 144,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561.52 : 67,556.37 = 67,556.37 : x
  2. Step 2: Convert to fraction form
    31,561.52/67,556.37 = 67,556.37/x
  3. Step 3: Cross multiply
    31,561.52x = 67,556.37 × 67,556.37
  4. Step 4: Simplify right side
    31,561.52x = 4,563,863,539.25
  5. Step 5: Solve for x
    x = 4,563,863,539.25/31,561.52
  6. Step 6: Final answer
    x = 144,602.13

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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.