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Finding the Third Proportional to 19,702.50 and 43,233

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Solution

The third proportional to 19,702.50 and 43,233 is: 94,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.50 : 43,233 = 43,233 : x
  2. Step 2: Convert to fraction form
    19,702.50/43,233 = 43,233/x
  3. Step 3: Cross multiply
    19,702.50x = 43,233 × 43,233
  4. Step 4: Simplify right side
    19,702.50x = 1,869,092,289
  5. Step 5: Solve for x
    x = 1,869,092,289/19,702.50
  6. Step 6: Final answer
    x = 94,865.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.