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Finding the Third Proportional to 37,813.50 and 79,497

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Solution

The third proportional to 37,813.50 and 79,497 is: 167,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.50 : 79,497 = 79,497 : x
  2. Step 2: Convert to fraction form
    37,813.50/79,497 = 79,497/x
  3. Step 3: Cross multiply
    37,813.50x = 79,497 × 79,497
  4. Step 4: Simplify right side
    37,813.50x = 6,319,773,009
  5. Step 5: Solve for x
    x = 6,319,773,009/37,813.50
  6. Step 6: Final answer
    x = 167,130.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.