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Finding the Third Proportional to 18,843.75 and 29,929.50

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Solution

The third proportional to 18,843.75 and 29,929.50 is: 47,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,843.75 : 29,929.50 = 29,929.50 : x
  2. Step 2: Convert to fraction form
    18,843.75/29,929.50 = 29,929.50/x
  3. Step 3: Cross multiply
    18,843.75x = 29,929.50 × 29,929.50
  4. Step 4: Simplify right side
    18,843.75x = 895,774,970.25
  5. Step 5: Solve for x
    x = 895,774,970.25/18,843.75
  6. Step 6: Final answer
    x = 47,536.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.