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Finding the Third Proportional to 1,291.78 and 1,973.53

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Solution

The third proportional to 1,291.78 and 1,973.53 is: 3,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.78 : 1,973.53 = 1,973.53 : x
  2. Step 2: Convert to fraction form
    1,291.78/1,973.53 = 1,973.53/x
  3. Step 3: Cross multiply
    1,291.78x = 1,973.53 × 1,973.53
  4. Step 4: Simplify right side
    1,291.78x = 3,894,825.59
  5. Step 5: Solve for x
    x = 3,894,825.59/1,291.78
  6. Step 6: Final answer
    x = 3,015.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.