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Finding the Third Proportional to 14,436 and 19,459.50

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Solution

The third proportional to 14,436 and 19,459.50 is: 26,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436 : 19,459.50 = 19,459.50 : x
  2. Step 2: Convert to fraction form
    14,436/19,459.50 = 19,459.50/x
  3. Step 3: Cross multiply
    14,436x = 19,459.50 × 19,459.50
  4. Step 4: Simplify right side
    14,436x = 378,672,140.25
  5. Step 5: Solve for x
    x = 378,672,140.25/14,436
  6. Step 6: Final answer
    x = 26,231.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.