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Finding the Third Proportional to 41,518 and 66,095

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Solution

The third proportional to 41,518 and 66,095 is: 105,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,518 : 66,095 = 66,095 : x
  2. Step 2: Convert to fraction form
    41,518/66,095 = 66,095/x
  3. Step 3: Cross multiply
    41,518x = 66,095 × 66,095
  4. Step 4: Simplify right side
    41,518x = 4,368,549,025
  5. Step 5: Solve for x
    x = 4,368,549,025/41,518
  6. Step 6: Final answer
    x = 105,220.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.