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Finding the Third Proportional to 35,582.63 and 75,556.13

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Solution

The third proportional to 35,582.63 and 75,556.13 is: 160,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,582.63 : 75,556.13 = 75,556.13 : x
  2. Step 2: Convert to fraction form
    35,582.63/75,556.13 = 75,556.13/x
  3. Step 3: Cross multiply
    35,582.63x = 75,556.13 × 75,556.13
  4. Step 4: Simplify right side
    35,582.63x = 5,708,728,025.02
  5. Step 5: Solve for x
    x = 5,708,728,025.02/35,582.63
  6. Step 6: Final answer
    x = 160,435.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.