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Finding the Third Proportional to 41,563.13 and 45,152.44

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Solution

The third proportional to 41,563.13 and 45,152.44 is: 49,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,563.13 : 45,152.44 = 45,152.44 : x
  2. Step 2: Convert to fraction form
    41,563.13/45,152.44 = 45,152.44/x
  3. Step 3: Cross multiply
    41,563.13x = 45,152.44 × 45,152.44
  4. Step 4: Simplify right side
    41,563.13x = 2,038,742,612.19
  5. Step 5: Solve for x
    x = 2,038,742,612.19/41,563.13
  6. Step 6: Final answer
    x = 49,051.72

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.