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Finding the Third Proportional to 46,691 and 70,083

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Solution

The third proportional to 46,691 and 70,083 is: 105,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,691 : 70,083 = 70,083 : x
  2. Step 2: Convert to fraction form
    46,691/70,083 = 70,083/x
  3. Step 3: Cross multiply
    46,691x = 70,083 × 70,083
  4. Step 4: Simplify right side
    46,691x = 4,911,626,889
  5. Step 5: Solve for x
    x = 4,911,626,889/46,691
  6. Step 6: Final answer
    x = 105,194.30

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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.