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Finding the Third Proportional to 44,970.19 and 56,998.69

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Solution

The third proportional to 44,970.19 and 56,998.69 is: 72,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,970.19 : 56,998.69 = 56,998.69 : x
  2. Step 2: Convert to fraction form
    44,970.19/56,998.69 = 56,998.69/x
  3. Step 3: Cross multiply
    44,970.19x = 56,998.69 × 56,998.69
  4. Step 4: Simplify right side
    44,970.19x = 3,248,850,376.72
  5. Step 5: Solve for x
    x = 3,248,850,376.72/44,970.19
  6. Step 6: Final answer
    x = 72,244.54

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.