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Finding the Third Proportional to 15,642 and 23,541

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Solution

The third proportional to 15,642 and 23,541 is: 35,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 23,541 = 23,541 : x
  2. Step 2: Convert to fraction form
    15,642/23,541 = 23,541/x
  3. Step 3: Cross multiply
    15,642x = 23,541 × 23,541
  4. Step 4: Simplify right side
    15,642x = 554,178,681
  5. Step 5: Solve for x
    x = 554,178,681/15,642
  6. Step 6: Final answer
    x = 35,428.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.