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Finding the Third Proportional to 14,702.25 and 31,834.75

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Solution

The third proportional to 14,702.25 and 31,834.75 is: 68,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.25 : 31,834.75 = 31,834.75 : x
  2. Step 2: Convert to fraction form
    14,702.25/31,834.75 = 31,834.75/x
  3. Step 3: Cross multiply
    14,702.25x = 31,834.75 × 31,834.75
  4. Step 4: Simplify right side
    14,702.25x = 1,013,451,307.56
  5. Step 5: Solve for x
    x = 1,013,451,307.56/14,702.25
  6. Step 6: Final answer
    x = 68,931.72

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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.