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Finding the Third Proportional to 34,201 and 54,637.50

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Solution

The third proportional to 34,201 and 54,637.50 is: 87,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201 : 54,637.50 = 54,637.50 : x
  2. Step 2: Convert to fraction form
    34,201/54,637.50 = 54,637.50/x
  3. Step 3: Cross multiply
    34,201x = 54,637.50 × 54,637.50
  4. Step 4: Simplify right side
    34,201x = 2,985,256,406.25
  5. Step 5: Solve for x
    x = 2,985,256,406.25/34,201
  6. Step 6: Final answer
    x = 87,285.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.