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Finding the Third Proportional to 46,364 and 69,762

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Solution

The third proportional to 46,364 and 69,762 is: 104,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,364 : 69,762 = 69,762 : x
  2. Step 2: Convert to fraction form
    46,364/69,762 = 69,762/x
  3. Step 3: Cross multiply
    46,364x = 69,762 × 69,762
  4. Step 4: Simplify right side
    46,364x = 4,866,736,644
  5. Step 5: Solve for x
    x = 4,866,736,644/46,364
  6. Step 6: Final answer
    x = 104,968.01

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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.