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Finding the Third Proportional to 25,911 and 42,835.50

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Solution

The third proportional to 25,911 and 42,835.50 is: 70,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911 : 42,835.50 = 42,835.50 : x
  2. Step 2: Convert to fraction form
    25,911/42,835.50 = 42,835.50/x
  3. Step 3: Cross multiply
    25,911x = 42,835.50 × 42,835.50
  4. Step 4: Simplify right side
    25,911x = 1,834,880,060.25
  5. Step 5: Solve for x
    x = 1,834,880,060.25/25,911
  6. Step 6: Final answer
    x = 70,814.71

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.