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Finding the Third Proportional to 38,959.50 and 84,146

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Solution

The third proportional to 38,959.50 and 84,146 is: 181,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,959.50 : 84,146 = 84,146 : x
  2. Step 2: Convert to fraction form
    38,959.50/84,146 = 84,146/x
  3. Step 3: Cross multiply
    38,959.50x = 84,146 × 84,146
  4. Step 4: Simplify right side
    38,959.50x = 7,080,549,316
  5. Step 5: Solve for x
    x = 7,080,549,316/38,959.50
  6. Step 6: Final answer
    x = 181,741.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.