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Finding the Third Proportional to 1,971 and 5,319

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Solution

The third proportional to 1,971 and 5,319 is: 14,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971 : 5,319 = 5,319 : x
  2. Step 2: Convert to fraction form
    1,971/5,319 = 5,319/x
  3. Step 3: Cross multiply
    1,971x = 5,319 × 5,319
  4. Step 4: Simplify right side
    1,971x = 28,291,761
  5. Step 5: Solve for x
    x = 28,291,761/1,971
  6. Step 6: Final answer
    x = 14,354.01

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.