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Finding the Third Proportional to 35,725 and 54,823

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Solution

The third proportional to 35,725 and 54,823 is: 84,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725 : 54,823 = 54,823 : x
  2. Step 2: Convert to fraction form
    35,725/54,823 = 54,823/x
  3. Step 3: Cross multiply
    35,725x = 54,823 × 54,823
  4. Step 4: Simplify right side
    35,725x = 3,005,561,329
  5. Step 5: Solve for x
    x = 3,005,561,329/35,725
  6. Step 6: Final answer
    x = 84,130.48

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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.