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Finding the Third Proportional to 6,709 and 14,714

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Solution

The third proportional to 6,709 and 14,714 is: 32,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709 : 14,714 = 14,714 : x
  2. Step 2: Convert to fraction form
    6,709/14,714 = 14,714/x
  3. Step 3: Cross multiply
    6,709x = 14,714 × 14,714
  4. Step 4: Simplify right side
    6,709x = 216,501,796
  5. Step 5: Solve for x
    x = 216,501,796/6,709
  6. Step 6: Final answer
    x = 32,270.35

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1.5x scale

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.