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Finding the Third Proportional to 4,935.09 and 6,647.91

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Solution

The third proportional to 4,935.09 and 6,647.91 is: 8,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.09 : 6,647.91 = 6,647.91 : x
  2. Step 2: Convert to fraction form
    4,935.09/6,647.91 = 6,647.91/x
  3. Step 3: Cross multiply
    4,935.09x = 6,647.91 × 6,647.91
  4. Step 4: Simplify right side
    4,935.09x = 44,194,657.51
  5. Step 5: Solve for x
    x = 44,194,657.51/4,935.09
  6. Step 6: Final answer
    x = 8,955.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.