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Finding the Third Proportional to 42,038 and 64,278

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Solution

The third proportional to 42,038 and 64,278 is: 98,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038 : 64,278 = 64,278 : x
  2. Step 2: Convert to fraction form
    42,038/64,278 = 64,278/x
  3. Step 3: Cross multiply
    42,038x = 64,278 × 64,278
  4. Step 4: Simplify right side
    42,038x = 4,131,661,284
  5. Step 5: Solve for x
    x = 4,131,661,284/42,038
  6. Step 6: Final answer
    x = 98,283.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.