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Finding the Third Proportional to 913.69 and 1,973.31

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Solution

The third proportional to 913.69 and 1,973.31 is: 4,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.69 : 1,973.31 = 1,973.31 : x
  2. Step 2: Convert to fraction form
    913.69/1,973.31 = 1,973.31/x
  3. Step 3: Cross multiply
    913.69x = 1,973.31 × 1,973.31
  4. Step 4: Simplify right side
    913.69x = 3,893,962.22
  5. Step 5: Solve for x
    x = 3,893,962.22/913.69
  6. Step 6: Final answer
    x = 4,261.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.