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Finding the Third Proportional to 5,070 and 10,650

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Solution

The third proportional to 5,070 and 10,650 is: 22,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070 : 10,650 = 10,650 : x
  2. Step 2: Convert to fraction form
    5,070/10,650 = 10,650/x
  3. Step 3: Cross multiply
    5,070x = 10,650 × 10,650
  4. Step 4: Simplify right side
    5,070x = 113,422,500
  5. Step 5: Solve for x
    x = 113,422,500/5,070
  6. Step 6: Final answer
    x = 22,371.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.