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Finding the Third Proportional to 36,786 and 56,948.63

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Solution

The third proportional to 36,786 and 56,948.63 is: 88,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,786 : 56,948.63 = 56,948.63 : x
  2. Step 2: Convert to fraction form
    36,786/56,948.63 = 56,948.63/x
  3. Step 3: Cross multiply
    36,786x = 56,948.63 × 56,948.63
  4. Step 4: Simplify right side
    36,786x = 3,243,145,889.39
  5. Step 5: Solve for x
    x = 3,243,145,889.39/36,786
  6. Step 6: Final answer
    x = 88,162.50

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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.