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Finding the Third Proportional to 25,629 and 39,178.50

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Solution

The third proportional to 25,629 and 39,178.50 is: 59,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,629 : 39,178.50 = 39,178.50 : x
  2. Step 2: Convert to fraction form
    25,629/39,178.50 = 39,178.50/x
  3. Step 3: Cross multiply
    25,629x = 39,178.50 × 39,178.50
  4. Step 4: Simplify right side
    25,629x = 1,534,954,862.25
  5. Step 5: Solve for x
    x = 1,534,954,862.25/25,629
  6. Step 6: Final answer
    x = 59,891.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.