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Finding the Third Proportional to 4,696.31 and 6,852.94

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Solution

The third proportional to 4,696.31 and 6,852.94 is: 9,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.31 : 6,852.94 = 6,852.94 : x
  2. Step 2: Convert to fraction form
    4,696.31/6,852.94 = 6,852.94/x
  3. Step 3: Cross multiply
    4,696.31x = 6,852.94 × 6,852.94
  4. Step 4: Simplify right side
    4,696.31x = 46,962,752.38
  5. Step 5: Solve for x
    x = 46,962,752.38/4,696.31
  6. Step 6: Final answer
    x = 9,999.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.