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Finding the Third Proportional to 4,090 and 9,541

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Solution

The third proportional to 4,090 and 9,541 is: 22,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 9,541 = 9,541 : x
  2. Step 2: Convert to fraction form
    4,090/9,541 = 9,541/x
  3. Step 3: Cross multiply
    4,090x = 9,541 × 9,541
  4. Step 4: Simplify right side
    4,090x = 91,030,681
  5. Step 5: Solve for x
    x = 91,030,681/4,090
  6. Step 6: Final answer
    x = 22,256.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.