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Finding the Third Proportional to 28,654 and 61,541

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Solution

The third proportional to 28,654 and 61,541 is: 132,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,654 : 61,541 = 61,541 : x
  2. Step 2: Convert to fraction form
    28,654/61,541 = 61,541/x
  3. Step 3: Cross multiply
    28,654x = 61,541 × 61,541
  4. Step 4: Simplify right side
    28,654x = 3,787,294,681
  5. Step 5: Solve for x
    x = 3,787,294,681/28,654
  6. Step 6: Final answer
    x = 132,173.33

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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.