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Finding the Third Proportional to 10,542 and 15,786

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Solution

The third proportional to 10,542 and 15,786 is: 23,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542 : 15,786 = 15,786 : x
  2. Step 2: Convert to fraction form
    10,542/15,786 = 15,786/x
  3. Step 3: Cross multiply
    10,542x = 15,786 × 15,786
  4. Step 4: Simplify right side
    10,542x = 249,197,796
  5. Step 5: Solve for x
    x = 249,197,796/10,542
  6. Step 6: Final answer
    x = 23,638.57

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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.