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Finding the Third Proportional to 4,669.31 and 7,059.66

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Solution

The third proportional to 4,669.31 and 7,059.66 is: 10,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.31 : 7,059.66 = 7,059.66 : x
  2. Step 2: Convert to fraction form
    4,669.31/7,059.66 = 7,059.66/x
  3. Step 3: Cross multiply
    4,669.31x = 7,059.66 × 7,059.66
  4. Step 4: Simplify right side
    4,669.31x = 49,838,746.37
  5. Step 5: Solve for x
    x = 49,838,746.37/4,669.31
  6. Step 6: Final answer
    x = 10,673.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.