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Finding the Third Proportional to 41,980.50 and 63,973

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Solution

The third proportional to 41,980.50 and 63,973 is: 97,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,980.50 : 63,973 = 63,973 : x
  2. Step 2: Convert to fraction form
    41,980.50/63,973 = 63,973/x
  3. Step 3: Cross multiply
    41,980.50x = 63,973 × 63,973
  4. Step 4: Simplify right side
    41,980.50x = 4,092,544,729
  5. Step 5: Solve for x
    x = 4,092,544,729/41,980.50
  6. Step 6: Final answer
    x = 97,486.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.