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Finding the Third Proportional to 25,754 and 36,758.50

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Solution

The third proportional to 25,754 and 36,758.50 is: 52,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754 : 36,758.50 = 36,758.50 : x
  2. Step 2: Convert to fraction form
    25,754/36,758.50 = 36,758.50/x
  3. Step 3: Cross multiply
    25,754x = 36,758.50 × 36,758.50
  4. Step 4: Simplify right side
    25,754x = 1,351,187,322.25
  5. Step 5: Solve for x
    x = 1,351,187,322.25/25,754
  6. Step 6: Final answer
    x = 52,465.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.