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Finding the Third Proportional to 897.47 and 1,926.56

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Solution

The third proportional to 897.47 and 1,926.56 is: 4,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.47 : 1,926.56 = 1,926.56 : x
  2. Step 2: Convert to fraction form
    897.47/1,926.56 = 1,926.56/x
  3. Step 3: Cross multiply
    897.47x = 1,926.56 × 1,926.56
  4. Step 4: Simplify right side
    897.47x = 3,711,643.07
  5. Step 5: Solve for x
    x = 3,711,643.07/897.47
  6. Step 6: Final answer
    x = 4,135.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.