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Finding the Third Proportional to 10,020 and 14,106

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Solution

The third proportional to 10,020 and 14,106 is: 19,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020 : 14,106 = 14,106 : x
  2. Step 2: Convert to fraction form
    10,020/14,106 = 14,106/x
  3. Step 3: Cross multiply
    10,020x = 14,106 × 14,106
  4. Step 4: Simplify right side
    10,020x = 198,979,236
  5. Step 5: Solve for x
    x = 198,979,236/10,020
  6. Step 6: Final answer
    x = 19,858.21

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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.