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Finding the Third Proportional to 7,707.63 and 16,566.13

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Solution

The third proportional to 7,707.63 and 16,566.13 is: 35,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.63 : 16,566.13 = 16,566.13 : x
  2. Step 2: Convert to fraction form
    7,707.63/16,566.13 = 16,566.13/x
  3. Step 3: Cross multiply
    7,707.63x = 16,566.13 × 16,566.13
  4. Step 4: Simplify right side
    7,707.63x = 274,436,497.52
  5. Step 5: Solve for x
    x = 274,436,497.52/7,707.63
  6. Step 6: Final answer
    x = 35,605.84

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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.