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Finding the Third Proportional to 41,859 and 63,762.75

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Solution

The third proportional to 41,859 and 63,762.75 is: 97,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,859 : 63,762.75 = 63,762.75 : x
  2. Step 2: Convert to fraction form
    41,859/63,762.75 = 63,762.75/x
  3. Step 3: Cross multiply
    41,859x = 63,762.75 × 63,762.75
  4. Step 4: Simplify right side
    41,859x = 4,065,688,287.56
  5. Step 5: Solve for x
    x = 4,065,688,287.56/41,859
  6. Step 6: Final answer
    x = 97,128.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.