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Finding the Third Proportional to 35,430 and 54,282

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Solution

The third proportional to 35,430 and 54,282 is: 83,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,430 : 54,282 = 54,282 : x
  2. Step 2: Convert to fraction form
    35,430/54,282 = 54,282/x
  3. Step 3: Cross multiply
    35,430x = 54,282 × 54,282
  4. Step 4: Simplify right side
    35,430x = 2,946,535,524
  5. Step 5: Solve for x
    x = 2,946,535,524/35,430
  6. Step 6: Final answer
    x = 83,164.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.