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Finding the Third Proportional to 1,526.34 and 2,261.04

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Solution

The third proportional to 1,526.34 and 2,261.04 is: 3,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.34 : 2,261.04 = 2,261.04 : x
  2. Step 2: Convert to fraction form
    1,526.34/2,261.04 = 2,261.04/x
  3. Step 3: Cross multiply
    1,526.34x = 2,261.04 × 2,261.04
  4. Step 4: Simplify right side
    1,526.34x = 5,112,297.64
  5. Step 5: Solve for x
    x = 5,112,297.64/1,526.34
  6. Step 6: Final answer
    x = 3,349.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.