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Finding the Third Proportional to 9,058 and 19,772

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Solution

The third proportional to 9,058 and 19,772 is: 43,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058 : 19,772 = 19,772 : x
  2. Step 2: Convert to fraction form
    9,058/19,772 = 19,772/x
  3. Step 3: Cross multiply
    9,058x = 19,772 × 19,772
  4. Step 4: Simplify right side
    9,058x = 390,931,984
  5. Step 5: Solve for x
    x = 390,931,984/9,058
  6. Step 6: Final answer
    x = 43,158.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.