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Finding the Third Proportional to 15,116.63 and 32,821.31

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Solution

The third proportional to 15,116.63 and 32,821.31 is: 71,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.63 : 32,821.31 = 32,821.31 : x
  2. Step 2: Convert to fraction form
    15,116.63/32,821.31 = 32,821.31/x
  3. Step 3: Cross multiply
    15,116.63x = 32,821.31 × 32,821.31
  4. Step 4: Simplify right side
    15,116.63x = 1,077,238,554.22
  5. Step 5: Solve for x
    x = 1,077,238,554.22/15,116.63
  6. Step 6: Final answer
    x = 71,261.84

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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.