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Finding the Third Proportional to 28,046 and 42,285

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Solution

The third proportional to 28,046 and 42,285 is: 63,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,046 : 42,285 = 42,285 : x
  2. Step 2: Convert to fraction form
    28,046/42,285 = 42,285/x
  3. Step 3: Cross multiply
    28,046x = 42,285 × 42,285
  4. Step 4: Simplify right side
    28,046x = 1,788,021,225
  5. Step 5: Solve for x
    x = 1,788,021,225/28,046
  6. Step 6: Final answer
    x = 63,753.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.