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Finding the Third Proportional to 12,937 and 24,058

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Solution

The third proportional to 12,937 and 24,058 is: 44,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937 : 24,058 = 24,058 : x
  2. Step 2: Convert to fraction form
    12,937/24,058 = 24,058/x
  3. Step 3: Cross multiply
    12,937x = 24,058 × 24,058
  4. Step 4: Simplify right side
    12,937x = 578,787,364
  5. Step 5: Solve for x
    x = 578,787,364/12,937
  6. Step 6: Final answer
    x = 44,738.92

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.