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Finding the Third Proportional to 46,143 and 65,983

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Solution

The third proportional to 46,143 and 65,983 is: 94,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,143 : 65,983 = 65,983 : x
  2. Step 2: Convert to fraction form
    46,143/65,983 = 65,983/x
  3. Step 3: Cross multiply
    46,143x = 65,983 × 65,983
  4. Step 4: Simplify right side
    46,143x = 4,353,756,289
  5. Step 5: Solve for x
    x = 4,353,756,289/46,143
  6. Step 6: Final answer
    x = 94,353.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.