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Finding the Third Proportional to 5,906 and 8,490

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Solution

The third proportional to 5,906 and 8,490 is: 12,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,490 = 8,490 : x
  2. Step 2: Convert to fraction form
    5,906/8,490 = 8,490/x
  3. Step 3: Cross multiply
    5,906x = 8,490 × 8,490
  4. Step 4: Simplify right side
    5,906x = 72,080,100
  5. Step 5: Solve for x
    x = 72,080,100/5,906
  6. Step 6: Final answer
    x = 12,204.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.