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Finding the Third Proportional to 7,705.13 and 16,637.91

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Solution

The third proportional to 7,705.13 and 16,637.91 is: 35,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.13 : 16,637.91 = 16,637.91 : x
  2. Step 2: Convert to fraction form
    7,705.13/16,637.91 = 16,637.91/x
  3. Step 3: Cross multiply
    7,705.13x = 16,637.91 × 16,637.91
  4. Step 4: Simplify right side
    7,705.13x = 276,819,924.38
  5. Step 5: Solve for x
    x = 276,819,924.38/7,705.13
  6. Step 6: Final answer
    x = 35,926.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.