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Finding the Third Proportional to 29,980.50 and 45,048

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Solution

The third proportional to 29,980.50 and 45,048 is: 67,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.50 : 45,048 = 45,048 : x
  2. Step 2: Convert to fraction form
    29,980.50/45,048 = 45,048/x
  3. Step 3: Cross multiply
    29,980.50x = 45,048 × 45,048
  4. Step 4: Simplify right side
    29,980.50x = 2,029,322,304
  5. Step 5: Solve for x
    x = 2,029,322,304/29,980.50
  6. Step 6: Final answer
    x = 67,688.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.