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Finding the Third Proportional to 19,852.59 and 29,171.39

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Solution

The third proportional to 19,852.59 and 29,171.39 is: 42,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.59 : 29,171.39 = 29,171.39 : x
  2. Step 2: Convert to fraction form
    19,852.59/29,171.39 = 29,171.39/x
  3. Step 3: Cross multiply
    19,852.59x = 29,171.39 × 29,171.39
  4. Step 4: Simplify right side
    19,852.59x = 850,970,031.00
  5. Step 5: Solve for x
    x = 850,970,031.00/19,852.59
  6. Step 6: Final answer
    x = 42,864.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.