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Finding the Third Proportional to 46,418 and 69,729

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Solution

The third proportional to 46,418 and 69,729 is: 104,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,418 : 69,729 = 69,729 : x
  2. Step 2: Convert to fraction form
    46,418/69,729 = 69,729/x
  3. Step 3: Cross multiply
    46,418x = 69,729 × 69,729
  4. Step 4: Simplify right side
    46,418x = 4,862,133,441
  5. Step 5: Solve for x
    x = 4,862,133,441/46,418
  6. Step 6: Final answer
    x = 104,746.72

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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.