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Finding the Third Proportional to 6,881.91 and 7,907.06

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Solution

The third proportional to 6,881.91 and 7,907.06 is: 9,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.91 : 7,907.06 = 7,907.06 : x
  2. Step 2: Convert to fraction form
    6,881.91/7,907.06 = 7,907.06/x
  3. Step 3: Cross multiply
    6,881.91x = 7,907.06 × 7,907.06
  4. Step 4: Simplify right side
    6,881.91x = 62,521,637.38
  5. Step 5: Solve for x
    x = 62,521,637.38/6,881.91
  6. Step 6: Final answer
    x = 9,084.93

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.