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Finding the Third Proportional to 46,949 and 64,567

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Solution

The third proportional to 46,949 and 64,567 is: 88,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,949 : 64,567 = 64,567 : x
  2. Step 2: Convert to fraction form
    46,949/64,567 = 64,567/x
  3. Step 3: Cross multiply
    46,949x = 64,567 × 64,567
  4. Step 4: Simplify right side
    46,949x = 4,168,897,489
  5. Step 5: Solve for x
    x = 4,168,897,489/46,949
  6. Step 6: Final answer
    x = 88,796.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.