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Finding the Third Proportional to 15,006.50 and 32,556.63

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Solution

The third proportional to 15,006.50 and 32,556.63 is: 70,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.50 : 32,556.63 = 32,556.63 : x
  2. Step 2: Convert to fraction form
    15,006.50/32,556.63 = 32,556.63/x
  3. Step 3: Cross multiply
    15,006.50x = 32,556.63 × 32,556.63
  4. Step 4: Simplify right side
    15,006.50x = 1,059,933,831.39
  5. Step 5: Solve for x
    x = 1,059,933,831.39/15,006.50
  6. Step 6: Final answer
    x = 70,631.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.