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Finding the Third Proportional to 41,051 and 64,911

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Solution

The third proportional to 41,051 and 64,911 is: 102,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,051 : 64,911 = 64,911 : x
  2. Step 2: Convert to fraction form
    41,051/64,911 = 64,911/x
  3. Step 3: Cross multiply
    41,051x = 64,911 × 64,911
  4. Step 4: Simplify right side
    41,051x = 4,213,437,921
  5. Step 5: Solve for x
    x = 4,213,437,921/41,051
  6. Step 6: Final answer
    x = 102,639.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.