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Finding the Third Proportional to 7,566.33 and 15,440.63

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Solution

The third proportional to 7,566.33 and 15,440.63 is: 31,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.33 : 15,440.63 = 15,440.63 : x
  2. Step 2: Convert to fraction form
    7,566.33/15,440.63 = 15,440.63/x
  3. Step 3: Cross multiply
    7,566.33x = 15,440.63 × 15,440.63
  4. Step 4: Simplify right side
    7,566.33x = 238,412,900.39
  5. Step 5: Solve for x
    x = 238,412,900.39/7,566.33
  6. Step 6: Final answer
    x = 31,509.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.