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Finding the Third Proportional to 46,790 and 70,685

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Solution

The third proportional to 46,790 and 70,685 is: 106,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,790 : 70,685 = 70,685 : x
  2. Step 2: Convert to fraction form
    46,790/70,685 = 70,685/x
  3. Step 3: Cross multiply
    46,790x = 70,685 × 70,685
  4. Step 4: Simplify right side
    46,790x = 4,996,369,225
  5. Step 5: Solve for x
    x = 4,996,369,225/46,790
  6. Step 6: Final answer
    x = 106,782.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.