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Finding the Third Proportional to 36,506 and 56,859

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Solution

The third proportional to 36,506 and 56,859 is: 88,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506 : 56,859 = 56,859 : x
  2. Step 2: Convert to fraction form
    36,506/56,859 = 56,859/x
  3. Step 3: Cross multiply
    36,506x = 56,859 × 56,859
  4. Step 4: Simplify right side
    36,506x = 3,232,945,881
  5. Step 5: Solve for x
    x = 3,232,945,881/36,506
  6. Step 6: Final answer
    x = 88,559.30

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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.