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Finding the Third Proportional to 14,319 and 16,460

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Solution

The third proportional to 14,319 and 16,460 is: 18,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319 : 16,460 = 16,460 : x
  2. Step 2: Convert to fraction form
    14,319/16,460 = 16,460/x
  3. Step 3: Cross multiply
    14,319x = 16,460 × 16,460
  4. Step 4: Simplify right side
    14,319x = 270,931,600
  5. Step 5: Solve for x
    x = 270,931,600/14,319
  6. Step 6: Final answer
    x = 18,921.13

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.