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Finding the Third Proportional to 32,509.50 and 51,010.75

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Solution

The third proportional to 32,509.50 and 51,010.75 is: 80,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.50 : 51,010.75 = 51,010.75 : x
  2. Step 2: Convert to fraction form
    32,509.50/51,010.75 = 51,010.75/x
  3. Step 3: Cross multiply
    32,509.50x = 51,010.75 × 51,010.75
  4. Step 4: Simplify right side
    32,509.50x = 2,602,096,615.56
  5. Step 5: Solve for x
    x = 2,602,096,615.56/32,509.50
  6. Step 6: Final answer
    x = 80,041.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.