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Finding the Third Proportional to 9,734.75 and 21,312.25

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Solution

The third proportional to 9,734.75 and 21,312.25 is: 46,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.75 : 21,312.25 = 21,312.25 : x
  2. Step 2: Convert to fraction form
    9,734.75/21,312.25 = 21,312.25/x
  3. Step 3: Cross multiply
    9,734.75x = 21,312.25 × 21,312.25
  4. Step 4: Simplify right side
    9,734.75x = 454,212,000.06
  5. Step 5: Solve for x
    x = 454,212,000.06/9,734.75
  6. Step 6: Final answer
    x = 46,658.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.