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Finding the Third Proportional to 10,506 and 14,018.25

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Solution

The third proportional to 10,506 and 14,018.25 is: 18,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506 : 14,018.25 = 14,018.25 : x
  2. Step 2: Convert to fraction form
    10,506/14,018.25 = 14,018.25/x
  3. Step 3: Cross multiply
    10,506x = 14,018.25 × 14,018.25
  4. Step 4: Simplify right side
    10,506x = 196,511,333.06
  5. Step 5: Solve for x
    x = 196,511,333.06/10,506
  6. Step 6: Final answer
    x = 18,704.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.