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Finding the Third Proportional to 12,112.03 and 21,308.06

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Solution

The third proportional to 12,112.03 and 21,308.06 is: 37,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.03 : 21,308.06 = 21,308.06 : x
  2. Step 2: Convert to fraction form
    12,112.03/21,308.06 = 21,308.06/x
  3. Step 3: Cross multiply
    12,112.03x = 21,308.06 × 21,308.06
  4. Step 4: Simplify right side
    12,112.03x = 454,033,527.50
  5. Step 5: Solve for x
    x = 454,033,527.50/12,112.03
  6. Step 6: Final answer
    x = 37,486.16

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.