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Finding the Third Proportional to 46,464 and 73,838

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Solution

The third proportional to 46,464 and 73,838 is: 117,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 73,838 = 73,838 : x
  2. Step 2: Convert to fraction form
    46,464/73,838 = 73,838/x
  3. Step 3: Cross multiply
    46,464x = 73,838 × 73,838
  4. Step 4: Simplify right side
    46,464x = 5,452,050,244
  5. Step 5: Solve for x
    x = 5,452,050,244/46,464
  6. Step 6: Final answer
    x = 117,339.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.