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Finding the Third Proportional to 36,106 and 56,037

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Solution

The third proportional to 36,106 and 56,037 is: 86,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106 : 56,037 = 56,037 : x
  2. Step 2: Convert to fraction form
    36,106/56,037 = 56,037/x
  3. Step 3: Cross multiply
    36,106x = 56,037 × 56,037
  4. Step 4: Simplify right side
    36,106x = 3,140,145,369
  5. Step 5: Solve for x
    x = 3,140,145,369/36,106
  6. Step 6: Final answer
    x = 86,970.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.