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Finding the Third Proportional to 46,700 and 69,885

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Solution

The third proportional to 46,700 and 69,885 is: 104,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,700 : 69,885 = 69,885 : x
  2. Step 2: Convert to fraction form
    46,700/69,885 = 69,885/x
  3. Step 3: Cross multiply
    46,700x = 69,885 × 69,885
  4. Step 4: Simplify right side
    46,700x = 4,883,913,225
  5. Step 5: Solve for x
    x = 4,883,913,225/46,700
  6. Step 6: Final answer
    x = 104,580.58

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