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Finding the Third Proportional to 46,958 and 63,957

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Solution

The third proportional to 46,958 and 63,957 is: 87,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,958 : 63,957 = 63,957 : x
  2. Step 2: Convert to fraction form
    46,958/63,957 = 63,957/x
  3. Step 3: Cross multiply
    46,958x = 63,957 × 63,957
  4. Step 4: Simplify right side
    46,958x = 4,090,497,849
  5. Step 5: Solve for x
    x = 4,090,497,849/46,958
  6. Step 6: Final answer
    x = 87,109.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.