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Finding the Third Proportional to 44,650 and 61,224

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Solution

The third proportional to 44,650 and 61,224 is: 83,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,650 : 61,224 = 61,224 : x
  2. Step 2: Convert to fraction form
    44,650/61,224 = 61,224/x
  3. Step 3: Cross multiply
    44,650x = 61,224 × 61,224
  4. Step 4: Simplify right side
    44,650x = 3,748,378,176
  5. Step 5: Solve for x
    x = 3,748,378,176/44,650
  6. Step 6: Final answer
    x = 83,950.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.