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Finding the Third Proportional to 35,089 and 45,523

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Solution

The third proportional to 35,089 and 45,523 is: 59,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,089 : 45,523 = 45,523 : x
  2. Step 2: Convert to fraction form
    35,089/45,523 = 45,523/x
  3. Step 3: Cross multiply
    35,089x = 45,523 × 45,523
  4. Step 4: Simplify right side
    35,089x = 2,072,343,529
  5. Step 5: Solve for x
    x = 2,072,343,529/35,089
  6. Step 6: Final answer
    x = 59,059.63

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.