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Finding the Third Proportional to 35,284 and 54,492

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Solution

The third proportional to 35,284 and 54,492 is: 84,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,284 : 54,492 = 54,492 : x
  2. Step 2: Convert to fraction form
    35,284/54,492 = 54,492/x
  3. Step 3: Cross multiply
    35,284x = 54,492 × 54,492
  4. Step 4: Simplify right side
    35,284x = 2,969,378,064
  5. Step 5: Solve for x
    x = 2,969,378,064/35,284
  6. Step 6: Final answer
    x = 84,156.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.