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Finding the Third Proportional to 28,972.50 and 41,352

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Solution

The third proportional to 28,972.50 and 41,352 is: 59,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,972.50 : 41,352 = 41,352 : x
  2. Step 2: Convert to fraction form
    28,972.50/41,352 = 41,352/x
  3. Step 3: Cross multiply
    28,972.50x = 41,352 × 41,352
  4. Step 4: Simplify right side
    28,972.50x = 1,709,987,904
  5. Step 5: Solve for x
    x = 1,709,987,904/28,972.50
  6. Step 6: Final answer
    x = 59,021.07

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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.