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Finding the Third Proportional to 10,018 and 14,969

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Solution

The third proportional to 10,018 and 14,969 is: 22,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018 : 14,969 = 14,969 : x
  2. Step 2: Convert to fraction form
    10,018/14,969 = 14,969/x
  3. Step 3: Cross multiply
    10,018x = 14,969 × 14,969
  4. Step 4: Simplify right side
    10,018x = 224,070,961
  5. Step 5: Solve for x
    x = 224,070,961/10,018
  6. Step 6: Final answer
    x = 22,366.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.