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Finding the Third Proportional to 28,252 and 42,380

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Solution

The third proportional to 28,252 and 42,380 is: 63,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,252 : 42,380 = 42,380 : x
  2. Step 2: Convert to fraction form
    28,252/42,380 = 42,380/x
  3. Step 3: Cross multiply
    28,252x = 42,380 × 42,380
  4. Step 4: Simplify right side
    28,252x = 1,796,064,400
  5. Step 5: Solve for x
    x = 1,796,064,400/28,252
  6. Step 6: Final answer
    x = 63,573.00

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