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Finding the Third Proportional to 2,358 and 3,768

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Solution

The third proportional to 2,358 and 3,768 is: 6,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358 : 3,768 = 3,768 : x
  2. Step 2: Convert to fraction form
    2,358/3,768 = 3,768/x
  3. Step 3: Cross multiply
    2,358x = 3,768 × 3,768
  4. Step 4: Simplify right side
    2,358x = 14,197,824
  5. Step 5: Solve for x
    x = 14,197,824/2,358
  6. Step 6: Final answer
    x = 6,021.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.