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Finding the Third Proportional to 2,130.40 and 4,556.95

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Solution

The third proportional to 2,130.40 and 4,556.95 is: 9,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.40 : 4,556.95 = 4,556.95 : x
  2. Step 2: Convert to fraction form
    2,130.40/4,556.95 = 4,556.95/x
  3. Step 3: Cross multiply
    2,130.40x = 4,556.95 × 4,556.95
  4. Step 4: Simplify right side
    2,130.40x = 20,765,821.78
  5. Step 5: Solve for x
    x = 20,765,821.78/2,130.40
  6. Step 6: Final answer
    x = 9,747.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.