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Finding the Third Proportional to 1,203.61 and 1,301.06

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Solution

The third proportional to 1,203.61 and 1,301.06 is: 1,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.61 : 1,301.06 = 1,301.06 : x
  2. Step 2: Convert to fraction form
    1,203.61/1,301.06 = 1,301.06/x
  3. Step 3: Cross multiply
    1,203.61x = 1,301.06 × 1,301.06
  4. Step 4: Simplify right side
    1,203.61x = 1,692,763.63
  5. Step 5: Solve for x
    x = 1,692,763.63/1,203.61
  6. Step 6: Final answer
    x = 1,406.41

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.