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Finding the Third Proportional to 13,060.13 and 19,042.88

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Solution

The third proportional to 13,060.13 and 19,042.88 is: 27,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.13 : 19,042.88 = 19,042.88 : x
  2. Step 2: Convert to fraction form
    13,060.13/19,042.88 = 19,042.88/x
  3. Step 3: Cross multiply
    13,060.13x = 19,042.88 × 19,042.88
  4. Step 4: Simplify right side
    13,060.13x = 362,631,088.27
  5. Step 5: Solve for x
    x = 362,631,088.27/13,060.13
  6. Step 6: Final answer
    x = 27,766.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.