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Finding the Third Proportional to 16,447 and 22,294.50

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Solution

The third proportional to 16,447 and 22,294.50 is: 30,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447 : 22,294.50 = 22,294.50 : x
  2. Step 2: Convert to fraction form
    16,447/22,294.50 = 22,294.50/x
  3. Step 3: Cross multiply
    16,447x = 22,294.50 × 22,294.50
  4. Step 4: Simplify right side
    16,447x = 497,044,730.25
  5. Step 5: Solve for x
    x = 497,044,730.25/16,447
  6. Step 6: Final answer
    x = 30,221.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.