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Finding the Third Proportional to 23,769 and 44,541

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Solution

The third proportional to 23,769 and 44,541 is: 83,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 44,541 = 44,541 : x
  2. Step 2: Convert to fraction form
    23,769/44,541 = 44,541/x
  3. Step 3: Cross multiply
    23,769x = 44,541 × 44,541
  4. Step 4: Simplify right side
    23,769x = 1,983,900,681
  5. Step 5: Solve for x
    x = 1,983,900,681/23,769
  6. Step 6: Final answer
    x = 83,465.89

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.