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Finding the Third Proportional to 23,984 and 37,541

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Solution

The third proportional to 23,984 and 37,541 is: 58,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984 : 37,541 = 37,541 : x
  2. Step 2: Convert to fraction form
    23,984/37,541 = 37,541/x
  3. Step 3: Cross multiply
    23,984x = 37,541 × 37,541
  4. Step 4: Simplify right side
    23,984x = 1,409,326,681
  5. Step 5: Solve for x
    x = 1,409,326,681/23,984
  6. Step 6: Final answer
    x = 58,761.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.