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Finding the Third Proportional to 5,490 and 7,341

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Solution

The third proportional to 5,490 and 7,341 is: 9,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490 : 7,341 = 7,341 : x
  2. Step 2: Convert to fraction form
    5,490/7,341 = 7,341/x
  3. Step 3: Cross multiply
    5,490x = 7,341 × 7,341
  4. Step 4: Simplify right side
    5,490x = 53,890,281
  5. Step 5: Solve for x
    x = 53,890,281/5,490
  6. Step 6: Final answer
    x = 9,816.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.