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Finding the Third Proportional to 46,365.75 and 89,037.56

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Solution

The third proportional to 46,365.75 and 89,037.56 is: 170,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,365.75 : 89,037.56 = 89,037.56 : x
  2. Step 2: Convert to fraction form
    46,365.75/89,037.56 = 89,037.56/x
  3. Step 3: Cross multiply
    46,365.75x = 89,037.56 × 89,037.56
  4. Step 4: Simplify right side
    46,365.75x = 7,927,687,535.94
  5. Step 5: Solve for x
    x = 7,927,687,535.94/46,365.75
  6. Step 6: Final answer
    x = 170,981.54

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.