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Finding the Third Proportional to 42,656 and 64,571

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Solution

The third proportional to 42,656 and 64,571 is: 97,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,656 : 64,571 = 64,571 : x
  2. Step 2: Convert to fraction form
    42,656/64,571 = 64,571/x
  3. Step 3: Cross multiply
    42,656x = 64,571 × 64,571
  4. Step 4: Simplify right side
    42,656x = 4,169,414,041
  5. Step 5: Solve for x
    x = 4,169,414,041/42,656
  6. Step 6: Final answer
    x = 97,745.08

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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.