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Finding the Third Proportional to 42,895 and 66,287

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Solution

The third proportional to 42,895 and 66,287 is: 102,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,895 : 66,287 = 66,287 : x
  2. Step 2: Convert to fraction form
    42,895/66,287 = 66,287/x
  3. Step 3: Cross multiply
    42,895x = 66,287 × 66,287
  4. Step 4: Simplify right side
    42,895x = 4,393,966,369
  5. Step 5: Solve for x
    x = 4,393,966,369/42,895
  6. Step 6: Final answer
    x = 102,435.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.