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Finding the Third Proportional to 35,910 and 56,376

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Solution

The third proportional to 35,910 and 56,376 is: 88,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,910 : 56,376 = 56,376 : x
  2. Step 2: Convert to fraction form
    35,910/56,376 = 56,376/x
  3. Step 3: Cross multiply
    35,910x = 56,376 × 56,376
  4. Step 4: Simplify right side
    35,910x = 3,178,253,376
  5. Step 5: Solve for x
    x = 3,178,253,376/35,910
  6. Step 6: Final answer
    x = 88,506.08

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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.