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Finding the Third Proportional to 14,701.50 and 36,237.38

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Solution

The third proportional to 14,701.50 and 36,237.38 is: 89,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.50 : 36,237.38 = 36,237.38 : x
  2. Step 2: Convert to fraction form
    14,701.50/36,237.38 = 36,237.38/x
  3. Step 3: Cross multiply
    14,701.50x = 36,237.38 × 36,237.38
  4. Step 4: Simplify right side
    14,701.50x = 1,313,147,346.89
  5. Step 5: Solve for x
    x = 1,313,147,346.89/14,701.50
  6. Step 6: Final answer
    x = 89,320.64

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.