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Finding the Third Proportional to 6,637.89 and 10,213.12

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Solution

The third proportional to 6,637.89 and 10,213.12 is: 15,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.89 : 10,213.12 = 10,213.12 : x
  2. Step 2: Convert to fraction form
    6,637.89/10,213.12 = 10,213.12/x
  3. Step 3: Cross multiply
    6,637.89x = 10,213.12 × 10,213.12
  4. Step 4: Simplify right side
    6,637.89x = 104,307,802.58
  5. Step 5: Solve for x
    x = 104,307,802.58/6,637.89
  6. Step 6: Final answer
    x = 15,714.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.