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Finding the Third Proportional to 31,078 and 46,617

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Solution

The third proportional to 31,078 and 46,617 is: 69,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078 : 46,617 = 46,617 : x
  2. Step 2: Convert to fraction form
    31,078/46,617 = 46,617/x
  3. Step 3: Cross multiply
    31,078x = 46,617 × 46,617
  4. Step 4: Simplify right side
    31,078x = 2,173,144,689
  5. Step 5: Solve for x
    x = 2,173,144,689/31,078
  6. Step 6: Final answer
    x = 69,925.50

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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.