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Finding the Third Proportional to 38,178 and 43,237.13

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Solution

The third proportional to 38,178 and 43,237.13 is: 48,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178 : 43,237.13 = 43,237.13 : x
  2. Step 2: Convert to fraction form
    38,178/43,237.13 = 43,237.13/x
  3. Step 3: Cross multiply
    38,178x = 43,237.13 × 43,237.13
  4. Step 4: Simplify right side
    38,178x = 1,869,448,978.27
  5. Step 5: Solve for x
    x = 1,869,448,978.27/38,178
  6. Step 6: Final answer
    x = 48,966.66

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.