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Finding the Third Proportional to 28,431 and 37,903.50

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Solution

The third proportional to 28,431 and 37,903.50 is: 50,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431 : 37,903.50 = 37,903.50 : x
  2. Step 2: Convert to fraction form
    28,431/37,903.50 = 37,903.50/x
  3. Step 3: Cross multiply
    28,431x = 37,903.50 × 37,903.50
  4. Step 4: Simplify right side
    28,431x = 1,436,675,312.25
  5. Step 5: Solve for x
    x = 1,436,675,312.25/28,431
  6. Step 6: Final answer
    x = 50,532.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.