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Finding the Third Proportional to 36,175 and 56,577.50

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Solution

The third proportional to 36,175 and 56,577.50 is: 88,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,175 : 56,577.50 = 56,577.50 : x
  2. Step 2: Convert to fraction form
    36,175/56,577.50 = 56,577.50/x
  3. Step 3: Cross multiply
    36,175x = 56,577.50 × 56,577.50
  4. Step 4: Simplify right side
    36,175x = 3,201,013,506.25
  5. Step 5: Solve for x
    x = 3,201,013,506.25/36,175
  6. Step 6: Final answer
    x = 88,486.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.