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Finding the Third Proportional to 6,386.34 and 14,731.88

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Solution

The third proportional to 6,386.34 and 14,731.88 is: 33,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.34 : 14,731.88 = 14,731.88 : x
  2. Step 2: Convert to fraction form
    6,386.34/14,731.88 = 14,731.88/x
  3. Step 3: Cross multiply
    6,386.34x = 14,731.88 × 14,731.88
  4. Step 4: Simplify right side
    6,386.34x = 217,028,141.02
  5. Step 5: Solve for x
    x = 217,028,141.02/6,386.34
  6. Step 6: Final answer
    x = 33,983.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.