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Finding the Third Proportional to 5,674.22 and 12,130.17

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Solution

The third proportional to 5,674.22 and 12,130.17 is: 25,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.22 : 12,130.17 = 12,130.17 : x
  2. Step 2: Convert to fraction form
    5,674.22/12,130.17 = 12,130.17/x
  3. Step 3: Cross multiply
    5,674.22x = 12,130.17 × 12,130.17
  4. Step 4: Simplify right side
    5,674.22x = 147,141,069.72
  5. Step 5: Solve for x
    x = 147,141,069.72/5,674.22
  6. Step 6: Final answer
    x = 25,931.51

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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.