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Finding the Third Proportional to 7,935.75 and 11,657.63

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Solution

The third proportional to 7,935.75 and 11,657.63 is: 17,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935.75 : 11,657.63 = 11,657.63 : x
  2. Step 2: Convert to fraction form
    7,935.75/11,657.63 = 11,657.63/x
  3. Step 3: Cross multiply
    7,935.75x = 11,657.63 × 11,657.63
  4. Step 4: Simplify right side
    7,935.75x = 135,900,220.64
  5. Step 5: Solve for x
    x = 135,900,220.64/7,935.75
  6. Step 6: Final answer
    x = 17,125.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.