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Finding the Third Proportional to 46,962 and 70,447

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Solution

The third proportional to 46,962 and 70,447 is: 105,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,962 : 70,447 = 70,447 : x
  2. Step 2: Convert to fraction form
    46,962/70,447 = 70,447/x
  3. Step 3: Cross multiply
    46,962x = 70,447 × 70,447
  4. Step 4: Simplify right side
    46,962x = 4,962,779,809
  5. Step 5: Solve for x
    x = 4,962,779,809/46,962
  6. Step 6: Final answer
    x = 105,676.50

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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.