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Finding the Third Proportional to 5,051 and 6,537

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Solution

The third proportional to 5,051 and 6,537 is: 8,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051 : 6,537 = 6,537 : x
  2. Step 2: Convert to fraction form
    5,051/6,537 = 6,537/x
  3. Step 3: Cross multiply
    5,051x = 6,537 × 6,537
  4. Step 4: Simplify right side
    5,051x = 42,732,369
  5. Step 5: Solve for x
    x = 42,732,369/5,051
  6. Step 6: Final answer
    x = 8,460.18

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.