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Finding the Third Proportional to 10,394 and 23,537

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Solution

The third proportional to 10,394 and 23,537 is: 53,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394 : 23,537 = 23,537 : x
  2. Step 2: Convert to fraction form
    10,394/23,537 = 23,537/x
  3. Step 3: Cross multiply
    10,394x = 23,537 × 23,537
  4. Step 4: Simplify right side
    10,394x = 553,990,369
  5. Step 5: Solve for x
    x = 553,990,369/10,394
  6. Step 6: Final answer
    x = 53,299.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.