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Finding the Third Proportional to 19,368 and 22,171.50

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Solution

The third proportional to 19,368 and 22,171.50 is: 25,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368 : 22,171.50 = 22,171.50 : x
  2. Step 2: Convert to fraction form
    19,368/22,171.50 = 22,171.50/x
  3. Step 3: Cross multiply
    19,368x = 22,171.50 × 22,171.50
  4. Step 4: Simplify right side
    19,368x = 491,575,412.25
  5. Step 5: Solve for x
    x = 491,575,412.25/19,368
  6. Step 6: Final answer
    x = 25,380.80

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.