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Finding the Third Proportional to 25,056 and 36,769.50

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Solution

The third proportional to 25,056 and 36,769.50 is: 53,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,056 : 36,769.50 = 36,769.50 : x
  2. Step 2: Convert to fraction form
    25,056/36,769.50 = 36,769.50/x
  3. Step 3: Cross multiply
    25,056x = 36,769.50 × 36,769.50
  4. Step 4: Simplify right side
    25,056x = 1,351,996,130.25
  5. Step 5: Solve for x
    x = 1,351,996,130.25/25,056
  6. Step 6: Final answer
    x = 53,958.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.