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Finding the Third Proportional to 6,206.06 and 14,637.80

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Solution

The third proportional to 6,206.06 and 14,637.80 is: 34,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.06 : 14,637.80 = 14,637.80 : x
  2. Step 2: Convert to fraction form
    6,206.06/14,637.80 = 14,637.80/x
  3. Step 3: Cross multiply
    6,206.06x = 14,637.80 × 14,637.80
  4. Step 4: Simplify right side
    6,206.06x = 214,265,097.35
  5. Step 5: Solve for x
    x = 214,265,097.35/6,206.06
  6. Step 6: Final answer
    x = 34,525.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.