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Finding the Third Proportional to 42,702.50 and 64,191

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Solution

The third proportional to 42,702.50 and 64,191 is: 96,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702.50 : 64,191 = 64,191 : x
  2. Step 2: Convert to fraction form
    42,702.50/64,191 = 64,191/x
  3. Step 3: Cross multiply
    42,702.50x = 64,191 × 64,191
  4. Step 4: Simplify right side
    42,702.50x = 4,120,484,481
  5. Step 5: Solve for x
    x = 4,120,484,481/42,702.50
  6. Step 6: Final answer
    x = 96,492.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.