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Finding the Third Proportional to 9,958 and 21,471.50

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Solution

The third proportional to 9,958 and 21,471.50 is: 46,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958 : 21,471.50 = 21,471.50 : x
  2. Step 2: Convert to fraction form
    9,958/21,471.50 = 21,471.50/x
  3. Step 3: Cross multiply
    9,958x = 21,471.50 × 21,471.50
  4. Step 4: Simplify right side
    9,958x = 461,025,312.25
  5. Step 5: Solve for x
    x = 461,025,312.25/9,958
  6. Step 6: Final answer
    x = 46,296.98

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