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Finding the Third Proportional to 9,700.25 and 20,946.25

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Solution

The third proportional to 9,700.25 and 20,946.25 is: 45,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.25 : 20,946.25 = 20,946.25 : x
  2. Step 2: Convert to fraction form
    9,700.25/20,946.25 = 20,946.25/x
  3. Step 3: Cross multiply
    9,700.25x = 20,946.25 × 20,946.25
  4. Step 4: Simplify right side
    9,700.25x = 438,745,389.06
  5. Step 5: Solve for x
    x = 438,745,389.06/9,700.25
  6. Step 6: Final answer
    x = 45,230.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.