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Finding the Third Proportional to 24,632 and 36,074

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Solution

The third proportional to 24,632 and 36,074 is: 52,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632 : 36,074 = 36,074 : x
  2. Step 2: Convert to fraction form
    24,632/36,074 = 36,074/x
  3. Step 3: Cross multiply
    24,632x = 36,074 × 36,074
  4. Step 4: Simplify right side
    24,632x = 1,301,333,476
  5. Step 5: Solve for x
    x = 1,301,333,476/24,632
  6. Step 6: Final answer
    x = 52,831.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.