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Finding the Third Proportional to 35,915 and 56,841.75

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Solution

The third proportional to 35,915 and 56,841.75 is: 89,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,915 : 56,841.75 = 56,841.75 : x
  2. Step 2: Convert to fraction form
    35,915/56,841.75 = 56,841.75/x
  3. Step 3: Cross multiply
    35,915x = 56,841.75 × 56,841.75
  4. Step 4: Simplify right side
    35,915x = 3,230,984,543.06
  5. Step 5: Solve for x
    x = 3,230,984,543.06/35,915
  6. Step 6: Final answer
    x = 89,961.98

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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.