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Finding the Third Proportional to 2,130.47 and 3,263.20

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Solution

The third proportional to 2,130.47 and 3,263.20 is: 4,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.47 : 3,263.20 = 3,263.20 : x
  2. Step 2: Convert to fraction form
    2,130.47/3,263.20 = 3,263.20/x
  3. Step 3: Cross multiply
    2,130.47x = 3,263.20 × 3,263.20
  4. Step 4: Simplify right side
    2,130.47x = 10,648,494.64
  5. Step 5: Solve for x
    x = 10,648,494.64/2,130.47
  6. Step 6: Final answer
    x = 4,998.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.