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Finding the Third Proportional to 36,447 and 59,514.50

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Solution

The third proportional to 36,447 and 59,514.50 is: 97,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,447 : 59,514.50 = 59,514.50 : x
  2. Step 2: Convert to fraction form
    36,447/59,514.50 = 59,514.50/x
  3. Step 3: Cross multiply
    36,447x = 59,514.50 × 59,514.50
  4. Step 4: Simplify right side
    36,447x = 3,541,975,710.25
  5. Step 5: Solve for x
    x = 3,541,975,710.25/36,447
  6. Step 6: Final answer
    x = 97,181.54

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.