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Finding the Third Proportional to 35,450 and 54,417

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Solution

The third proportional to 35,450 and 54,417 is: 83,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,450 : 54,417 = 54,417 : x
  2. Step 2: Convert to fraction form
    35,450/54,417 = 54,417/x
  3. Step 3: Cross multiply
    35,450x = 54,417 × 54,417
  4. Step 4: Simplify right side
    35,450x = 2,961,209,889
  5. Step 5: Solve for x
    x = 2,961,209,889/35,450
  6. Step 6: Final answer
    x = 83,532.01

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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.