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Finding the Third Proportional to 46,757 and 70,695

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Solution

The third proportional to 46,757 and 70,695 is: 106,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,757 : 70,695 = 70,695 : x
  2. Step 2: Convert to fraction form
    46,757/70,695 = 70,695/x
  3. Step 3: Cross multiply
    46,757x = 70,695 × 70,695
  4. Step 4: Simplify right side
    46,757x = 4,997,783,025
  5. Step 5: Solve for x
    x = 4,997,783,025/46,757
  6. Step 6: Final answer
    x = 106,888.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.