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Finding the Third Proportional to 32,277 and 70,775.25

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Solution

The third proportional to 32,277 and 70,775.25 is: 155,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,277 : 70,775.25 = 70,775.25 : x
  2. Step 2: Convert to fraction form
    32,277/70,775.25 = 70,775.25/x
  3. Step 3: Cross multiply
    32,277x = 70,775.25 × 70,775.25
  4. Step 4: Simplify right side
    32,277x = 5,009,136,012.56
  5. Step 5: Solve for x
    x = 5,009,136,012.56/32,277
  6. Step 6: Final answer
    x = 155,192.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.