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Finding the Third Proportional to 50,302.50 and 74,583

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Solution

The third proportional to 50,302.50 and 74,583 is: 110,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,302.50 : 74,583 = 74,583 : x
  2. Step 2: Convert to fraction form
    50,302.50/74,583 = 74,583/x
  3. Step 3: Cross multiply
    50,302.50x = 74,583 × 74,583
  4. Step 4: Simplify right side
    50,302.50x = 5,562,623,889
  5. Step 5: Solve for x
    x = 5,562,623,889/50,302.50
  6. Step 6: Final answer
    x = 110,583.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.