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Finding the Third Proportional to 13,129.88 and 19,648.13

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Solution

The third proportional to 13,129.88 and 19,648.13 is: 29,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.88 : 19,648.13 = 19,648.13 : x
  2. Step 2: Convert to fraction form
    13,129.88/19,648.13 = 19,648.13/x
  3. Step 3: Cross multiply
    13,129.88x = 19,648.13 × 19,648.13
  4. Step 4: Simplify right side
    13,129.88x = 386,048,816.02
  5. Step 5: Solve for x
    x = 386,048,816.02/13,129.88
  6. Step 6: Final answer
    x = 29,402.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.