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Finding the Third Proportional to 46,541 and 73,983

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Solution

The third proportional to 46,541 and 73,983 is: 117,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,541 : 73,983 = 73,983 : x
  2. Step 2: Convert to fraction form
    46,541/73,983 = 73,983/x
  3. Step 3: Cross multiply
    46,541x = 73,983 × 73,983
  4. Step 4: Simplify right side
    46,541x = 5,473,484,289
  5. Step 5: Solve for x
    x = 5,473,484,289/46,541
  6. Step 6: Final answer
    x = 117,605.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.