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Finding the Third Proportional to 2,330 and 5,070

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Solution

The third proportional to 2,330 and 5,070 is: 11,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330 : 5,070 = 5,070 : x
  2. Step 2: Convert to fraction form
    2,330/5,070 = 5,070/x
  3. Step 3: Cross multiply
    2,330x = 5,070 × 5,070
  4. Step 4: Simplify right side
    2,330x = 25,704,900
  5. Step 5: Solve for x
    x = 25,704,900/2,330
  6. Step 6: Final answer
    x = 11,032.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.