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Finding the Third Proportional to 29,324.25 and 59,688

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Solution

The third proportional to 29,324.25 and 59,688 is: 121,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324.25 : 59,688 = 59,688 : x
  2. Step 2: Convert to fraction form
    29,324.25/59,688 = 59,688/x
  3. Step 3: Cross multiply
    29,324.25x = 59,688 × 59,688
  4. Step 4: Simplify right side
    29,324.25x = 3,562,657,344
  5. Step 5: Solve for x
    x = 3,562,657,344/29,324.25
  6. Step 6: Final answer
    x = 121,491.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.