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Finding the Third Proportional to 18,911 and 40,709

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Solution

The third proportional to 18,911 and 40,709 is: 87,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,911 : 40,709 = 40,709 : x
  2. Step 2: Convert to fraction form
    18,911/40,709 = 40,709/x
  3. Step 3: Cross multiply
    18,911x = 40,709 × 40,709
  4. Step 4: Simplify right side
    18,911x = 1,657,222,681
  5. Step 5: Solve for x
    x = 1,657,222,681/18,911
  6. Step 6: Final answer
    x = 87,632.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.