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Finding the Third Proportional to 6,510 and 14,254

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Solution

The third proportional to 6,510 and 14,254 is: 31,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510 : 14,254 = 14,254 : x
  2. Step 2: Convert to fraction form
    6,510/14,254 = 14,254/x
  3. Step 3: Cross multiply
    6,510x = 14,254 × 14,254
  4. Step 4: Simplify right side
    6,510x = 203,176,516
  5. Step 5: Solve for x
    x = 203,176,516/6,510
  6. Step 6: Final answer
    x = 31,209.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.