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Finding the Third Proportional to 19,869.50 and 27,848.50

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Solution

The third proportional to 19,869.50 and 27,848.50 is: 39,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.50 : 27,848.50 = 27,848.50 : x
  2. Step 2: Convert to fraction form
    19,869.50/27,848.50 = 27,848.50/x
  3. Step 3: Cross multiply
    19,869.50x = 27,848.50 × 27,848.50
  4. Step 4: Simplify right side
    19,869.50x = 775,538,952.25
  5. Step 5: Solve for x
    x = 775,538,952.25/19,869.50
  6. Step 6: Final answer
    x = 39,031.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.