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Finding the Third Proportional to 63,021.50 and 97,630.75

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Solution

The third proportional to 63,021.50 and 97,630.75 is: 151,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,021.50 : 97,630.75 = 97,630.75 : x
  2. Step 2: Convert to fraction form
    63,021.50/97,630.75 = 97,630.75/x
  3. Step 3: Cross multiply
    63,021.50x = 97,630.75 × 97,630.75
  4. Step 4: Simplify right side
    63,021.50x = 9,531,763,345.56
  5. Step 5: Solve for x
    x = 9,531,763,345.56/63,021.50
  6. Step 6: Final answer
    x = 151,246.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.