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Finding the Third Proportional to 46,506 and 69,627

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Solution

The third proportional to 46,506 and 69,627 is: 104,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506 : 69,627 = 69,627 : x
  2. Step 2: Convert to fraction form
    46,506/69,627 = 69,627/x
  3. Step 3: Cross multiply
    46,506x = 69,627 × 69,627
  4. Step 4: Simplify right side
    46,506x = 4,847,919,129
  5. Step 5: Solve for x
    x = 4,847,919,129/46,506
  6. Step 6: Final answer
    x = 104,242.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.