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Finding the Third Proportional to 46,933 and 70,461

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Solution

The third proportional to 46,933 and 70,461 is: 105,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,933 : 70,461 = 70,461 : x
  2. Step 2: Convert to fraction form
    46,933/70,461 = 70,461/x
  3. Step 3: Cross multiply
    46,933x = 70,461 × 70,461
  4. Step 4: Simplify right side
    46,933x = 4,964,752,521
  5. Step 5: Solve for x
    x = 4,964,752,521/46,933
  6. Step 6: Final answer
    x = 105,783.83

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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.