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Finding the Third Proportional to 29,323.50 and 59,685

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Solution

The third proportional to 29,323.50 and 59,685 is: 121,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,323.50 : 59,685 = 59,685 : x
  2. Step 2: Convert to fraction form
    29,323.50/59,685 = 59,685/x
  3. Step 3: Cross multiply
    29,323.50x = 59,685 × 59,685
  4. Step 4: Simplify right side
    29,323.50x = 3,562,299,225
  5. Step 5: Solve for x
    x = 3,562,299,225/29,323.50
  6. Step 6: Final answer
    x = 121,482.74

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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.