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Finding the Third Proportional to 9,370 and 19,952

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Solution

The third proportional to 9,370 and 19,952 is: 42,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370 : 19,952 = 19,952 : x
  2. Step 2: Convert to fraction form
    9,370/19,952 = 19,952/x
  3. Step 3: Cross multiply
    9,370x = 19,952 × 19,952
  4. Step 4: Simplify right side
    9,370x = 398,082,304
  5. Step 5: Solve for x
    x = 398,082,304/9,370
  6. Step 6: Final answer
    x = 42,484.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.