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Finding the Third Proportional to 30,962 and 46,513

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Solution

The third proportional to 30,962 and 46,513 is: 69,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962 : 46,513 = 46,513 : x
  2. Step 2: Convert to fraction form
    30,962/46,513 = 46,513/x
  3. Step 3: Cross multiply
    30,962x = 46,513 × 46,513
  4. Step 4: Simplify right side
    30,962x = 2,163,459,169
  5. Step 5: Solve for x
    x = 2,163,459,169/30,962
  6. Step 6: Final answer
    x = 69,874.66

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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.