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Finding the Third Proportional to 46,464 and 70,788

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Solution

The third proportional to 46,464 and 70,788 is: 107,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 70,788 = 70,788 : x
  2. Step 2: Convert to fraction form
    46,464/70,788 = 70,788/x
  3. Step 3: Cross multiply
    46,464x = 70,788 × 70,788
  4. Step 4: Simplify right side
    46,464x = 5,010,940,944
  5. Step 5: Solve for x
    x = 5,010,940,944/46,464
  6. Step 6: Final answer
    x = 107,845.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.