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Finding the Third Proportional to 46,064 and 69,785

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Solution

The third proportional to 46,064 and 69,785 is: 105,721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,064 : 69,785 = 69,785 : x
  2. Step 2: Convert to fraction form
    46,064/69,785 = 69,785/x
  3. Step 3: Cross multiply
    46,064x = 69,785 × 69,785
  4. Step 4: Simplify right side
    46,064x = 4,869,946,225
  5. Step 5: Solve for x
    x = 4,869,946,225/46,064
  6. Step 6: Final answer
    x = 105,721.31

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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.