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Finding the Third Proportional to 46,572 and 73,777

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Solution

The third proportional to 46,572 and 73,777 is: 116,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,572 : 73,777 = 73,777 : x
  2. Step 2: Convert to fraction form
    46,572/73,777 = 73,777/x
  3. Step 3: Cross multiply
    46,572x = 73,777 × 73,777
  4. Step 4: Simplify right side
    46,572x = 5,443,045,729
  5. Step 5: Solve for x
    x = 5,443,045,729/46,572
  6. Step 6: Final answer
    x = 116,873.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.