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Finding the Third Proportional to 3,046 and 4,127.75

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Solution

The third proportional to 3,046 and 4,127.75 is: 5,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,127.75 = 4,127.75 : x
  2. Step 2: Convert to fraction form
    3,046/4,127.75 = 4,127.75/x
  3. Step 3: Cross multiply
    3,046x = 4,127.75 × 4,127.75
  4. Step 4: Simplify right side
    3,046x = 17,038,320.06
  5. Step 5: Solve for x
    x = 17,038,320.06/3,046
  6. Step 6: Final answer
    x = 5,593.67

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.