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Finding the Third Proportional to 5,590 and 8,658

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Solution

The third proportional to 5,590 and 8,658 is: 13,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590 : 8,658 = 8,658 : x
  2. Step 2: Convert to fraction form
    5,590/8,658 = 8,658/x
  3. Step 3: Cross multiply
    5,590x = 8,658 × 8,658
  4. Step 4: Simplify right side
    5,590x = 74,960,964
  5. Step 5: Solve for x
    x = 74,960,964/5,590
  6. Step 6: Final answer
    x = 13,409.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.