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Finding the Third Proportional to 4,762.69 and 6,784.31

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Solution

The third proportional to 4,762.69 and 6,784.31 is: 9,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.69 : 6,784.31 = 6,784.31 : x
  2. Step 2: Convert to fraction form
    4,762.69/6,784.31 = 6,784.31/x
  3. Step 3: Cross multiply
    4,762.69x = 6,784.31 × 6,784.31
  4. Step 4: Simplify right side
    4,762.69x = 46,026,896.10
  5. Step 5: Solve for x
    x = 46,026,896.10/4,762.69
  6. Step 6: Final answer
    x = 9,664.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.