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Finding the Third Proportional to 897.12 and 1,924.01

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Solution

The third proportional to 897.12 and 1,924.01 is: 4,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.12 : 1,924.01 = 1,924.01 : x
  2. Step 2: Convert to fraction form
    897.12/1,924.01 = 1,924.01/x
  3. Step 3: Cross multiply
    897.12x = 1,924.01 × 1,924.01
  4. Step 4: Simplify right side
    897.12x = 3,701,828.61
  5. Step 5: Solve for x
    x = 3,701,828.61/897.12
  6. Step 6: Final answer
    x = 4,126.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.