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Finding the Third Proportional to 32,862.75 and 51,483.75

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Solution

The third proportional to 32,862.75 and 51,483.75 is: 80,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.75 : 51,483.75 = 51,483.75 : x
  2. Step 2: Convert to fraction form
    32,862.75/51,483.75 = 51,483.75/x
  3. Step 3: Cross multiply
    32,862.75x = 51,483.75 × 51,483.75
  4. Step 4: Simplify right side
    32,862.75x = 2,650,576,514.06
  5. Step 5: Solve for x
    x = 2,650,576,514.06/32,862.75
  6. Step 6: Final answer
    x = 80,655.96

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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.