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Finding the Third Proportional to 2,130 and 3,114

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Solution

The third proportional to 2,130 and 3,114 is: 4,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130 : 3,114 = 3,114 : x
  2. Step 2: Convert to fraction form
    2,130/3,114 = 3,114/x
  3. Step 3: Cross multiply
    2,130x = 3,114 × 3,114
  4. Step 4: Simplify right side
    2,130x = 9,696,996
  5. Step 5: Solve for x
    x = 9,696,996/2,130
  6. Step 6: Final answer
    x = 4,552.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.