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Finding the Third Proportional to 15,417 and 37,039.50

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Solution

The third proportional to 15,417 and 37,039.50 is: 88,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417 : 37,039.50 = 37,039.50 : x
  2. Step 2: Convert to fraction form
    15,417/37,039.50 = 37,039.50/x
  3. Step 3: Cross multiply
    15,417x = 37,039.50 × 37,039.50
  4. Step 4: Simplify right side
    15,417x = 1,371,924,560.25
  5. Step 5: Solve for x
    x = 1,371,924,560.25/15,417
  6. Step 6: Final answer
    x = 88,987.78

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.