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Finding the Third Proportional to 24,190 and 36,998

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Solution

The third proportional to 24,190 and 36,998 is: 56,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190 : 36,998 = 36,998 : x
  2. Step 2: Convert to fraction form
    24,190/36,998 = 36,998/x
  3. Step 3: Cross multiply
    24,190x = 36,998 × 36,998
  4. Step 4: Simplify right side
    24,190x = 1,368,852,004
  5. Step 5: Solve for x
    x = 1,368,852,004/24,190
  6. Step 6: Final answer
    x = 56,587.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.