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Finding the Third Proportional to 35,970 and 56,307

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Solution

The third proportional to 35,970 and 56,307 is: 88,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970 : 56,307 = 56,307 : x
  2. Step 2: Convert to fraction form
    35,970/56,307 = 56,307/x
  3. Step 3: Cross multiply
    35,970x = 56,307 × 56,307
  4. Step 4: Simplify right side
    35,970x = 3,170,478,249
  5. Step 5: Solve for x
    x = 3,170,478,249/35,970
  6. Step 6: Final answer
    x = 88,142.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.