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Finding the Third Proportional to 30,430 and 46,009

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Solution

The third proportional to 30,430 and 46,009 is: 69,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430 : 46,009 = 46,009 : x
  2. Step 2: Convert to fraction form
    30,430/46,009 = 46,009/x
  3. Step 3: Cross multiply
    30,430x = 46,009 × 46,009
  4. Step 4: Simplify right side
    30,430x = 2,116,828,081
  5. Step 5: Solve for x
    x = 2,116,828,081/30,430
  6. Step 6: Final answer
    x = 69,563.85

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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.