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Finding the Third Proportional to 51,090.75 and 70,553.53

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Solution

The third proportional to 51,090.75 and 70,553.53 is: 97,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,090.75 : 70,553.53 = 70,553.53 : x
  2. Step 2: Convert to fraction form
    51,090.75/70,553.53 = 70,553.53/x
  3. Step 3: Cross multiply
    51,090.75x = 70,553.53 × 70,553.53
  4. Step 4: Simplify right side
    51,090.75x = 4,977,800,771.84
  5. Step 5: Solve for x
    x = 4,977,800,771.84/51,090.75
  6. Step 6: Final answer
    x = 97,430.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.