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Finding the Third Proportional to 7,423 and 15,809

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Solution

The third proportional to 7,423 and 15,809 is: 33,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423 : 15,809 = 15,809 : x
  2. Step 2: Convert to fraction form
    7,423/15,809 = 15,809/x
  3. Step 3: Cross multiply
    7,423x = 15,809 × 15,809
  4. Step 4: Simplify right side
    7,423x = 249,924,481
  5. Step 5: Solve for x
    x = 249,924,481/7,423
  6. Step 6: Final answer
    x = 33,668.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.