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Finding the Third Proportional to 46,767 and 70,204.50

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Solution

The third proportional to 46,767 and 70,204.50 is: 105,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767 : 70,204.50 = 70,204.50 : x
  2. Step 2: Convert to fraction form
    46,767/70,204.50 = 70,204.50/x
  3. Step 3: Cross multiply
    46,767x = 70,204.50 × 70,204.50
  4. Step 4: Simplify right side
    46,767x = 4,928,671,820.25
  5. Step 5: Solve for x
    x = 4,928,671,820.25/46,767
  6. Step 6: Final answer
    x = 105,387.81

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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.