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Finding the Third Proportional to 7,005 and 14,659

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Solution

The third proportional to 7,005 and 14,659 is: 30,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005 : 14,659 = 14,659 : x
  2. Step 2: Convert to fraction form
    7,005/14,659 = 14,659/x
  3. Step 3: Cross multiply
    7,005x = 14,659 × 14,659
  4. Step 4: Simplify right side
    7,005x = 214,886,281
  5. Step 5: Solve for x
    x = 214,886,281/7,005
  6. Step 6: Final answer
    x = 30,676.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.