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Finding the Third Proportional to 46,966 and 70,472

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Solution

The third proportional to 46,966 and 70,472 is: 105,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,966 : 70,472 = 70,472 : x
  2. Step 2: Convert to fraction form
    46,966/70,472 = 70,472/x
  3. Step 3: Cross multiply
    46,966x = 70,472 × 70,472
  4. Step 4: Simplify right side
    46,966x = 4,966,302,784
  5. Step 5: Solve for x
    x = 4,966,302,784/46,966
  6. Step 6: Final answer
    x = 105,742.51

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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.