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Finding the Third Proportional to 6,429.56 and 9,713.06

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Solution

The third proportional to 6,429.56 and 9,713.06 is: 14,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.56 : 9,713.06 = 9,713.06 : x
  2. Step 2: Convert to fraction form
    6,429.56/9,713.06 = 9,713.06/x
  3. Step 3: Cross multiply
    6,429.56x = 9,713.06 × 9,713.06
  4. Step 4: Simplify right side
    6,429.56x = 94,343,583.13
  5. Step 5: Solve for x
    x = 94,343,583.13/6,429.56
  6. Step 6: Final answer
    x = 14,673.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.