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Finding the Third Proportional to 9,773 and 15,142

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Solution

The third proportional to 9,773 and 15,142 is: 23,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773 : 15,142 = 15,142 : x
  2. Step 2: Convert to fraction form
    9,773/15,142 = 15,142/x
  3. Step 3: Cross multiply
    9,773x = 15,142 × 15,142
  4. Step 4: Simplify right side
    9,773x = 229,280,164
  5. Step 5: Solve for x
    x = 229,280,164/9,773
  6. Step 6: Final answer
    x = 23,460.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.