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Finding the Third Proportional to 35,973 and 54,461

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Solution

The third proportional to 35,973 and 54,461 is: 82,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,973 : 54,461 = 54,461 : x
  2. Step 2: Convert to fraction form
    35,973/54,461 = 54,461/x
  3. Step 3: Cross multiply
    35,973x = 54,461 × 54,461
  4. Step 4: Simplify right side
    35,973x = 2,966,000,521
  5. Step 5: Solve for x
    x = 2,966,000,521/35,973
  6. Step 6: Final answer
    x = 82,450.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.