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Finding the Third Proportional to 10,020 and 14,756

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Solution

The third proportional to 10,020 and 14,756 is: 21,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020 : 14,756 = 14,756 : x
  2. Step 2: Convert to fraction form
    10,020/14,756 = 14,756/x
  3. Step 3: Cross multiply
    10,020x = 14,756 × 14,756
  4. Step 4: Simplify right side
    10,020x = 217,739,536
  5. Step 5: Solve for x
    x = 217,739,536/10,020
  6. Step 6: Final answer
    x = 21,730.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.