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Finding the Third Proportional to 10,053 and 14,169

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Solution

The third proportional to 10,053 and 14,169 is: 19,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053 : 14,169 = 14,169 : x
  2. Step 2: Convert to fraction form
    10,053/14,169 = 14,169/x
  3. Step 3: Cross multiply
    10,053x = 14,169 × 14,169
  4. Step 4: Simplify right side
    10,053x = 200,760,561
  5. Step 5: Solve for x
    x = 200,760,561/10,053
  6. Step 6: Final answer
    x = 19,970.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.