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Finding the Third Proportional to 46,009 and 98,575

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Solution

The third proportional to 46,009 and 98,575 is: 211,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,009 : 98,575 = 98,575 : x
  2. Step 2: Convert to fraction form
    46,009/98,575 = 98,575/x
  3. Step 3: Cross multiply
    46,009x = 98,575 × 98,575
  4. Step 4: Simplify right side
    46,009x = 9,717,030,625
  5. Step 5: Solve for x
    x = 9,717,030,625/46,009
  6. Step 6: Final answer
    x = 211,198.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.