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Finding the Third Proportional to 46,794 and 72,729

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Solution

The third proportional to 46,794 and 72,729 is: 113,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,794 : 72,729 = 72,729 : x
  2. Step 2: Convert to fraction form
    46,794/72,729 = 72,729/x
  3. Step 3: Cross multiply
    46,794x = 72,729 × 72,729
  4. Step 4: Simplify right side
    46,794x = 5,289,507,441
  5. Step 5: Solve for x
    x = 5,289,507,441/46,794
  6. Step 6: Final answer
    x = 113,038.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.