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Finding the Third Proportional to 46,713 and 68,341.50

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Solution

The third proportional to 46,713 and 68,341.50 is: 99,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,713 : 68,341.50 = 68,341.50 : x
  2. Step 2: Convert to fraction form
    46,713/68,341.50 = 68,341.50/x
  3. Step 3: Cross multiply
    46,713x = 68,341.50 × 68,341.50
  4. Step 4: Simplify right side
    46,713x = 4,670,560,622.25
  5. Step 5: Solve for x
    x = 4,670,560,622.25/46,713
  6. Step 6: Final answer
    x = 99,984.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.