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Finding the Third Proportional to 29,959.88 and 46,996.88

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Solution

The third proportional to 29,959.88 and 46,996.88 is: 73,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.88 : 46,996.88 = 46,996.88 : x
  2. Step 2: Convert to fraction form
    29,959.88/46,996.88 = 46,996.88/x
  3. Step 3: Cross multiply
    29,959.88x = 46,996.88 × 46,996.88
  4. Step 4: Simplify right side
    29,959.88x = 2,208,706,259.77
  5. Step 5: Solve for x
    x = 2,208,706,259.77/29,959.88
  6. Step 6: Final answer
    x = 73,722.15

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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.