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Finding the Third Proportional to 6,501 and 14,330

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Solution

The third proportional to 6,501 and 14,330 is: 31,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501 : 14,330 = 14,330 : x
  2. Step 2: Convert to fraction form
    6,501/14,330 = 14,330/x
  3. Step 3: Cross multiply
    6,501x = 14,330 × 14,330
  4. Step 4: Simplify right side
    6,501x = 205,348,900
  5. Step 5: Solve for x
    x = 205,348,900/6,501
  6. Step 6: Final answer
    x = 31,587.28

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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.