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Finding the Third Proportional to 29,980.13 and 47,116.69

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Solution

The third proportional to 29,980.13 and 47,116.69 is: 74,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.13 : 47,116.69 = 47,116.69 : x
  2. Step 2: Convert to fraction form
    29,980.13/47,116.69 = 47,116.69/x
  3. Step 3: Cross multiply
    29,980.13x = 47,116.69 × 47,116.69
  4. Step 4: Simplify right side
    29,980.13x = 2,219,982,240.97
  5. Step 5: Solve for x
    x = 2,219,982,240.97/29,980.13
  6. Step 6: Final answer
    x = 74,048.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.