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Finding the Third Proportional to 13,700 and 19,577

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Solution

The third proportional to 13,700 and 19,577 is: 27,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700 : 19,577 = 19,577 : x
  2. Step 2: Convert to fraction form
    13,700/19,577 = 19,577/x
  3. Step 3: Cross multiply
    13,700x = 19,577 × 19,577
  4. Step 4: Simplify right side
    13,700x = 383,258,929
  5. Step 5: Solve for x
    x = 383,258,929/13,700
  6. Step 6: Final answer
    x = 27,975.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.