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Finding the Third Proportional to 7,707.66 and 16,918.88

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Solution

The third proportional to 7,707.66 and 16,918.88 is: 37,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.66 : 16,918.88 = 16,918.88 : x
  2. Step 2: Convert to fraction form
    7,707.66/16,918.88 = 16,918.88/x
  3. Step 3: Cross multiply
    7,707.66x = 16,918.88 × 16,918.88
  4. Step 4: Simplify right side
    7,707.66x = 286,248,331.27
  5. Step 5: Solve for x
    x = 286,248,331.27/7,707.66
  6. Step 6: Final answer
    x = 37,138.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.