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Finding the Third Proportional to 9,242.50 and 19,763

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Solution

The third proportional to 9,242.50 and 19,763 is: 42,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.50 : 19,763 = 19,763 : x
  2. Step 2: Convert to fraction form
    9,242.50/19,763 = 19,763/x
  3. Step 3: Cross multiply
    9,242.50x = 19,763 × 19,763
  4. Step 4: Simplify right side
    9,242.50x = 390,576,169
  5. Step 5: Solve for x
    x = 390,576,169/9,242.50
  6. Step 6: Final answer
    x = 42,258.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.