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Finding the Third Proportional to 46,926 and 73,746

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Solution

The third proportional to 46,926 and 73,746 is: 115,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,926 : 73,746 = 73,746 : x
  2. Step 2: Convert to fraction form
    46,926/73,746 = 73,746/x
  3. Step 3: Cross multiply
    46,926x = 73,746 × 73,746
  4. Step 4: Simplify right side
    46,926x = 5,438,472,516
  5. Step 5: Solve for x
    x = 5,438,472,516/46,926
  6. Step 6: Final answer
    x = 115,894.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.