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Finding the Third Proportional to 24,190 and 37,363

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Solution

The third proportional to 24,190 and 37,363 is: 57,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190 : 37,363 = 37,363 : x
  2. Step 2: Convert to fraction form
    24,190/37,363 = 37,363/x
  3. Step 3: Cross multiply
    24,190x = 37,363 × 37,363
  4. Step 4: Simplify right side
    24,190x = 1,395,993,769
  5. Step 5: Solve for x
    x = 1,395,993,769/24,190
  6. Step 6: Final answer
    x = 57,709.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.