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Finding the Third Proportional to 24,332 and 51,803

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Solution

The third proportional to 24,332 and 51,803 is: 110,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332 : 51,803 = 51,803 : x
  2. Step 2: Convert to fraction form
    24,332/51,803 = 51,803/x
  3. Step 3: Cross multiply
    24,332x = 51,803 × 51,803
  4. Step 4: Simplify right side
    24,332x = 2,683,550,809
  5. Step 5: Solve for x
    x = 2,683,550,809/24,332
  6. Step 6: Final answer
    x = 110,288.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.