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Finding the Third Proportional to 46,462 and 70,785

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Solution

The third proportional to 46,462 and 70,785 is: 107,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,462 : 70,785 = 70,785 : x
  2. Step 2: Convert to fraction form
    46,462/70,785 = 70,785/x
  3. Step 3: Cross multiply
    46,462x = 70,785 × 70,785
  4. Step 4: Simplify right side
    46,462x = 5,010,516,225
  5. Step 5: Solve for x
    x = 5,010,516,225/46,462
  6. Step 6: Final answer
    x = 107,841.17

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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.