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Finding the Third Proportional to 15,116.63 and 32,856.89

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Solution

The third proportional to 15,116.63 and 32,856.89 is: 71,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.63 : 32,856.89 = 32,856.89 : x
  2. Step 2: Convert to fraction form
    15,116.63/32,856.89 = 32,856.89/x
  3. Step 3: Cross multiply
    15,116.63x = 32,856.89 × 32,856.89
  4. Step 4: Simplify right side
    15,116.63x = 1,079,575,261.54
  5. Step 5: Solve for x
    x = 1,079,575,261.54/15,116.63
  6. Step 6: Final answer
    x = 71,416.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.