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Finding the Third Proportional to 9,718 and 14,565

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Solution

The third proportional to 9,718 and 14,565 is: 21,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718 : 14,565 = 14,565 : x
  2. Step 2: Convert to fraction form
    9,718/14,565 = 14,565/x
  3. Step 3: Cross multiply
    9,718x = 14,565 × 14,565
  4. Step 4: Simplify right side
    9,718x = 212,139,225
  5. Step 5: Solve for x
    x = 212,139,225/9,718
  6. Step 6: Final answer
    x = 21,829.51

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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.