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Finding the Third Proportional to 46,015 and 64,783

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Solution

The third proportional to 46,015 and 64,783 is: 91,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,015 : 64,783 = 64,783 : x
  2. Step 2: Convert to fraction form
    46,015/64,783 = 64,783/x
  3. Step 3: Cross multiply
    46,015x = 64,783 × 64,783
  4. Step 4: Simplify right side
    46,015x = 4,196,837,089
  5. Step 5: Solve for x
    x = 4,196,837,089/46,015
  6. Step 6: Final answer
    x = 91,205.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.