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Finding the Third Proportional to 2,130 and 2,856

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Solution

The third proportional to 2,130 and 2,856 is: 3,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130 : 2,856 = 2,856 : x
  2. Step 2: Convert to fraction form
    2,130/2,856 = 2,856/x
  3. Step 3: Cross multiply
    2,130x = 2,856 × 2,856
  4. Step 4: Simplify right side
    2,130x = 8,156,736
  5. Step 5: Solve for x
    x = 8,156,736/2,130
  6. Step 6: Final answer
    x = 3,829.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.