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Finding the Third Proportional to 42,896 and 64,616

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Solution

The third proportional to 42,896 and 64,616 is: 97,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896 : 64,616 = 64,616 : x
  2. Step 2: Convert to fraction form
    42,896/64,616 = 64,616/x
  3. Step 3: Cross multiply
    42,896x = 64,616 × 64,616
  4. Step 4: Simplify right side
    42,896x = 4,175,227,456
  5. Step 5: Solve for x
    x = 4,175,227,456/42,896
  6. Step 6: Final answer
    x = 97,333.72

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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.