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Finding the Third Proportional to 44,050.50 and 89,640

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Solution

The third proportional to 44,050.50 and 89,640 is: 182,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,050.50 : 89,640 = 89,640 : x
  2. Step 2: Convert to fraction form
    44,050.50/89,640 = 89,640/x
  3. Step 3: Cross multiply
    44,050.50x = 89,640 × 89,640
  4. Step 4: Simplify right side
    44,050.50x = 8,035,329,600
  5. Step 5: Solve for x
    x = 8,035,329,600/44,050.50
  6. Step 6: Final answer
    x = 182,411.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.