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Finding the Third Proportional to 46,742 and 65,586

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Solution

The third proportional to 46,742 and 65,586 is: 92,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,742 : 65,586 = 65,586 : x
  2. Step 2: Convert to fraction form
    46,742/65,586 = 65,586/x
  3. Step 3: Cross multiply
    46,742x = 65,586 × 65,586
  4. Step 4: Simplify right side
    46,742x = 4,301,523,396
  5. Step 5: Solve for x
    x = 4,301,523,396/46,742
  6. Step 6: Final answer
    x = 92,026.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.