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Finding the Third Proportional to 14,217 and 19,886.50

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Solution

The third proportional to 14,217 and 19,886.50 is: 27,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217 : 19,886.50 = 19,886.50 : x
  2. Step 2: Convert to fraction form
    14,217/19,886.50 = 19,886.50/x
  3. Step 3: Cross multiply
    14,217x = 19,886.50 × 19,886.50
  4. Step 4: Simplify right side
    14,217x = 395,472,882.25
  5. Step 5: Solve for x
    x = 395,472,882.25/14,217
  6. Step 6: Final answer
    x = 27,816.90

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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.