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Finding the Third Proportional to 36,042 and 55,430

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Solution

The third proportional to 36,042 and 55,430 is: 85,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042 : 55,430 = 55,430 : x
  2. Step 2: Convert to fraction form
    36,042/55,430 = 55,430/x
  3. Step 3: Cross multiply
    36,042x = 55,430 × 55,430
  4. Step 4: Simplify right side
    36,042x = 3,072,484,900
  5. Step 5: Solve for x
    x = 3,072,484,900/36,042
  6. Step 6: Final answer
    x = 85,247.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.