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Finding the Third Proportional to 38,973 and 55,732.50

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Solution

The third proportional to 38,973 and 55,732.50 is: 79,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973 : 55,732.50 = 55,732.50 : x
  2. Step 2: Convert to fraction form
    38,973/55,732.50 = 55,732.50/x
  3. Step 3: Cross multiply
    38,973x = 55,732.50 × 55,732.50
  4. Step 4: Simplify right side
    38,973x = 3,106,111,556.25
  5. Step 5: Solve for x
    x = 3,106,111,556.25/38,973
  6. Step 6: Final answer
    x = 79,699.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.