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Finding the Third Proportional to 47,294 and 97,024

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Solution

The third proportional to 47,294 and 97,024 is: 199,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294 : 97,024 = 97,024 : x
  2. Step 2: Convert to fraction form
    47,294/97,024 = 97,024/x
  3. Step 3: Cross multiply
    47,294x = 97,024 × 97,024
  4. Step 4: Simplify right side
    47,294x = 9,413,656,576
  5. Step 5: Solve for x
    x = 9,413,656,576/47,294
  6. Step 6: Final answer
    x = 199,045.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.