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Finding the Third Proportional to 30,159 and 46,962

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Solution

The third proportional to 30,159 and 46,962 is: 73,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 46,962 = 46,962 : x
  2. Step 2: Convert to fraction form
    30,159/46,962 = 46,962/x
  3. Step 3: Cross multiply
    30,159x = 46,962 × 46,962
  4. Step 4: Simplify right side
    30,159x = 2,205,429,444
  5. Step 5: Solve for x
    x = 2,205,429,444/30,159
  6. Step 6: Final answer
    x = 73,126.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.