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Finding the Third Proportional to 14,316 and 21,578

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Solution

The third proportional to 14,316 and 21,578 is: 32,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316 : 21,578 = 21,578 : x
  2. Step 2: Convert to fraction form
    14,316/21,578 = 21,578/x
  3. Step 3: Cross multiply
    14,316x = 21,578 × 21,578
  4. Step 4: Simplify right side
    14,316x = 465,610,084
  5. Step 5: Solve for x
    x = 465,610,084/14,316
  6. Step 6: Final answer
    x = 32,523.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.