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Finding the Third Proportional to 7,434 and 14,490

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Solution

The third proportional to 7,434 and 14,490 is: 28,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434 : 14,490 = 14,490 : x
  2. Step 2: Convert to fraction form
    7,434/14,490 = 14,490/x
  3. Step 3: Cross multiply
    7,434x = 14,490 × 14,490
  4. Step 4: Simplify right side
    7,434x = 209,960,100
  5. Step 5: Solve for x
    x = 209,960,100/7,434
  6. Step 6: Final answer
    x = 28,243.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.