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Finding the Third Proportional to 5,701 and 6,541

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Solution

The third proportional to 5,701 and 6,541 is: 7,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701 : 6,541 = 6,541 : x
  2. Step 2: Convert to fraction form
    5,701/6,541 = 6,541/x
  3. Step 3: Cross multiply
    5,701x = 6,541 × 6,541
  4. Step 4: Simplify right side
    5,701x = 42,784,681
  5. Step 5: Solve for x
    x = 42,784,681/5,701
  6. Step 6: Final answer
    x = 7,504.77

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.