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Finding the Third Proportional to 15,297 and 21,541

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Solution

The third proportional to 15,297 and 21,541 is: 30,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297 : 21,541 = 21,541 : x
  2. Step 2: Convert to fraction form
    15,297/21,541 = 21,541/x
  3. Step 3: Cross multiply
    15,297x = 21,541 × 21,541
  4. Step 4: Simplify right side
    15,297x = 464,014,681
  5. Step 5: Solve for x
    x = 464,014,681/15,297
  6. Step 6: Final answer
    x = 30,333.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.