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Finding the Third Proportional to 2,888.34 and 4,127.44

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Solution

The third proportional to 2,888.34 and 4,127.44 is: 5,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.34 : 4,127.44 = 4,127.44 : x
  2. Step 2: Convert to fraction form
    2,888.34/4,127.44 = 4,127.44/x
  3. Step 3: Cross multiply
    2,888.34x = 4,127.44 × 4,127.44
  4. Step 4: Simplify right side
    2,888.34x = 17,035,740.32
  5. Step 5: Solve for x
    x = 17,035,740.32/2,888.34
  6. Step 6: Final answer
    x = 5,898.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.