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Finding the Third Proportional to 15,009 and 34,746

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Solution

The third proportional to 15,009 and 34,746 is: 80,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009 : 34,746 = 34,746 : x
  2. Step 2: Convert to fraction form
    15,009/34,746 = 34,746/x
  3. Step 3: Cross multiply
    15,009x = 34,746 × 34,746
  4. Step 4: Simplify right side
    15,009x = 1,207,284,516
  5. Step 5: Solve for x
    x = 1,207,284,516/15,009
  6. Step 6: Final answer
    x = 80,437.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.