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Finding the Third Proportional to 29,190 and 46,228

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Solution

The third proportional to 29,190 and 46,228 is: 73,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,190 : 46,228 = 46,228 : x
  2. Step 2: Convert to fraction form
    29,190/46,228 = 46,228/x
  3. Step 3: Cross multiply
    29,190x = 46,228 × 46,228
  4. Step 4: Simplify right side
    29,190x = 2,137,027,984
  5. Step 5: Solve for x
    x = 2,137,027,984/29,190
  6. Step 6: Final answer
    x = 73,210.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.