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Finding the Third Proportional to 5,158 and 5,590

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Solution

The third proportional to 5,158 and 5,590 is: 6,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158 : 5,590 = 5,590 : x
  2. Step 2: Convert to fraction form
    5,158/5,590 = 5,590/x
  3. Step 3: Cross multiply
    5,158x = 5,590 × 5,590
  4. Step 4: Simplify right side
    5,158x = 31,248,100
  5. Step 5: Solve for x
    x = 31,248,100/5,158
  6. Step 6: Final answer
    x = 6,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.