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Finding the Third Proportional to 31,034 and 46,427

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Solution

The third proportional to 31,034 and 46,427 is: 69,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034 : 46,427 = 46,427 : x
  2. Step 2: Convert to fraction form
    31,034/46,427 = 46,427/x
  3. Step 3: Cross multiply
    31,034x = 46,427 × 46,427
  4. Step 4: Simplify right side
    31,034x = 2,155,466,329
  5. Step 5: Solve for x
    x = 2,155,466,329/31,034
  6. Step 6: Final answer
    x = 69,455.00

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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.