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Finding the Third Proportional to 10,174 and 14,862

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Solution

The third proportional to 10,174 and 14,862 is: 21,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174 : 14,862 = 14,862 : x
  2. Step 2: Convert to fraction form
    10,174/14,862 = 14,862/x
  3. Step 3: Cross multiply
    10,174x = 14,862 × 14,862
  4. Step 4: Simplify right side
    10,174x = 220,879,044
  5. Step 5: Solve for x
    x = 220,879,044/10,174
  6. Step 6: Final answer
    x = 21,710.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.