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Finding the Third Proportional to 10,072 and 14,088

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Solution

The third proportional to 10,072 and 14,088 is: 19,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 14,088 = 14,088 : x
  2. Step 2: Convert to fraction form
    10,072/14,088 = 14,088/x
  3. Step 3: Cross multiply
    10,072x = 14,088 × 14,088
  4. Step 4: Simplify right side
    10,072x = 198,471,744
  5. Step 5: Solve for x
    x = 198,471,744/10,072
  6. Step 6: Final answer
    x = 19,705.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.