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Finding the Third Proportional to 30,788.44 and 47,541.94

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Solution

The third proportional to 30,788.44 and 47,541.94 is: 73,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.44 : 47,541.94 = 47,541.94 : x
  2. Step 2: Convert to fraction form
    30,788.44/47,541.94 = 47,541.94/x
  3. Step 3: Cross multiply
    30,788.44x = 47,541.94 × 47,541.94
  4. Step 4: Simplify right side
    30,788.44x = 2,260,235,821.25
  5. Step 5: Solve for x
    x = 2,260,235,821.25/30,788.44
  6. Step 6: Final answer
    x = 73,411.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.