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Finding the Third Proportional to 14,012 and 21,070

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Solution

The third proportional to 14,012 and 21,070 is: 31,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012 : 21,070 = 21,070 : x
  2. Step 2: Convert to fraction form
    14,012/21,070 = 21,070/x
  3. Step 3: Cross multiply
    14,012x = 21,070 × 21,070
  4. Step 4: Simplify right side
    14,012x = 443,944,900
  5. Step 5: Solve for x
    x = 443,944,900/14,012
  6. Step 6: Final answer
    x = 31,683.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.