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Finding the Third Proportional to 13,800.50 and 29,244.50

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Solution

The third proportional to 13,800.50 and 29,244.50 is: 61,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.50 : 29,244.50 = 29,244.50 : x
  2. Step 2: Convert to fraction form
    13,800.50/29,244.50 = 29,244.50/x
  3. Step 3: Cross multiply
    13,800.50x = 29,244.50 × 29,244.50
  4. Step 4: Simplify right side
    13,800.50x = 855,240,780.25
  5. Step 5: Solve for x
    x = 855,240,780.25/13,800.50
  6. Step 6: Final answer
    x = 61,971.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.