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Finding the Third Proportional to 12,912.13 and 19,952.06

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Solution

The third proportional to 12,912.13 and 19,952.06 is: 30,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.13 : 19,952.06 = 19,952.06 : x
  2. Step 2: Convert to fraction form
    12,912.13/19,952.06 = 19,952.06/x
  3. Step 3: Cross multiply
    12,912.13x = 19,952.06 × 19,952.06
  4. Step 4: Simplify right side
    12,912.13x = 398,084,798.00
  5. Step 5: Solve for x
    x = 398,084,798.00/12,912.13
  6. Step 6: Final answer
    x = 30,830.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.