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Finding the Third Proportional to 27,512 and 39,332

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Solution

The third proportional to 27,512 and 39,332 is: 56,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512 : 39,332 = 39,332 : x
  2. Step 2: Convert to fraction form
    27,512/39,332 = 39,332/x
  3. Step 3: Cross multiply
    27,512x = 39,332 × 39,332
  4. Step 4: Simplify right side
    27,512x = 1,547,006,224
  5. Step 5: Solve for x
    x = 1,547,006,224/27,512
  6. Step 6: Final answer
    x = 56,230.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.