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Finding the Third Proportional to 46,597.50 and 100,575

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Solution

The third proportional to 46,597.50 and 100,575 is: 217,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,597.50 : 100,575 = 100,575 : x
  2. Step 2: Convert to fraction form
    46,597.50/100,575 = 100,575/x
  3. Step 3: Cross multiply
    46,597.50x = 100,575 × 100,575
  4. Step 4: Simplify right side
    46,597.50x = 10,115,330,625
  5. Step 5: Solve for x
    x = 10,115,330,625/46,597.50
  6. Step 6: Final answer
    x = 217,078.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.