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Finding the Third Proportional to 42,854 and 64,893

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Solution

The third proportional to 42,854 and 64,893 is: 98,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854 : 64,893 = 64,893 : x
  2. Step 2: Convert to fraction form
    42,854/64,893 = 64,893/x
  3. Step 3: Cross multiply
    42,854x = 64,893 × 64,893
  4. Step 4: Simplify right side
    42,854x = 4,211,101,449
  5. Step 5: Solve for x
    x = 4,211,101,449/42,854
  6. Step 6: Final answer
    x = 98,266.24

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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.