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Finding the Third Proportional to 35,654 and 56,505

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Solution

The third proportional to 35,654 and 56,505 is: 89,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654 : 56,505 = 56,505 : x
  2. Step 2: Convert to fraction form
    35,654/56,505 = 56,505/x
  3. Step 3: Cross multiply
    35,654x = 56,505 × 56,505
  4. Step 4: Simplify right side
    35,654x = 3,192,815,025
  5. Step 5: Solve for x
    x = 3,192,815,025/35,654
  6. Step 6: Final answer
    x = 89,549.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.