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Finding the Third Proportional to 6,547 and 13,933

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Solution

The third proportional to 6,547 and 13,933 is: 29,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547 : 13,933 = 13,933 : x
  2. Step 2: Convert to fraction form
    6,547/13,933 = 13,933/x
  3. Step 3: Cross multiply
    6,547x = 13,933 × 13,933
  4. Step 4: Simplify right side
    6,547x = 194,128,489
  5. Step 5: Solve for x
    x = 194,128,489/6,547
  6. Step 6: Final answer
    x = 29,651.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.