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Finding the Third Proportional to 29,818.50 and 63,085.50

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Solution

The third proportional to 29,818.50 and 63,085.50 is: 133,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,818.50 : 63,085.50 = 63,085.50 : x
  2. Step 2: Convert to fraction form
    29,818.50/63,085.50 = 63,085.50/x
  3. Step 3: Cross multiply
    29,818.50x = 63,085.50 × 63,085.50
  4. Step 4: Simplify right side
    29,818.50x = 3,979,780,310.25
  5. Step 5: Solve for x
    x = 3,979,780,310.25/29,818.50
  6. Step 6: Final answer
    x = 133,466.82

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.