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Finding the Third Proportional to 29,068.50 and 59,433

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Solution

The third proportional to 29,068.50 and 59,433 is: 121,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,068.50 : 59,433 = 59,433 : x
  2. Step 2: Convert to fraction form
    29,068.50/59,433 = 59,433/x
  3. Step 3: Cross multiply
    29,068.50x = 59,433 × 59,433
  4. Step 4: Simplify right side
    29,068.50x = 3,532,281,489
  5. Step 5: Solve for x
    x = 3,532,281,489/29,068.50
  6. Step 6: Final answer
    x = 121,515.78

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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.