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Finding the Third Proportional to 46,684 and 70,061

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Solution

The third proportional to 46,684 and 70,061 is: 105,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,684 : 70,061 = 70,061 : x
  2. Step 2: Convert to fraction form
    46,684/70,061 = 70,061/x
  3. Step 3: Cross multiply
    46,684x = 70,061 × 70,061
  4. Step 4: Simplify right side
    46,684x = 4,908,543,721
  5. Step 5: Solve for x
    x = 4,908,543,721/46,684
  6. Step 6: Final answer
    x = 105,144.03

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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.