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Finding the Third Proportional to 24,901 and 36,998

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Solution

The third proportional to 24,901 and 36,998 is: 54,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,901 : 36,998 = 36,998 : x
  2. Step 2: Convert to fraction form
    24,901/36,998 = 36,998/x
  3. Step 3: Cross multiply
    24,901x = 36,998 × 36,998
  4. Step 4: Simplify right side
    24,901x = 1,368,852,004
  5. Step 5: Solve for x
    x = 1,368,852,004/24,901
  6. Step 6: Final answer
    x = 54,971.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.