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Finding the Third Proportional to 6,590 and 14,478

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Solution

The third proportional to 6,590 and 14,478 is: 31,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590 : 14,478 = 14,478 : x
  2. Step 2: Convert to fraction form
    6,590/14,478 = 14,478/x
  3. Step 3: Cross multiply
    6,590x = 14,478 × 14,478
  4. Step 4: Simplify right side
    6,590x = 209,612,484
  5. Step 5: Solve for x
    x = 209,612,484/6,590
  6. Step 6: Final answer
    x = 31,807.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.