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Finding the Third Proportional to 29,125 and 46,190

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Solution

The third proportional to 29,125 and 46,190 is: 73,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,125 : 46,190 = 46,190 : x
  2. Step 2: Convert to fraction form
    29,125/46,190 = 46,190/x
  3. Step 3: Cross multiply
    29,125x = 46,190 × 46,190
  4. Step 4: Simplify right side
    29,125x = 2,133,516,100
  5. Step 5: Solve for x
    x = 2,133,516,100/29,125
  6. Step 6: Final answer
    x = 73,253.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.