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Finding the Third Proportional to 7,254.56 and 15,774.75

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Solution

The third proportional to 7,254.56 and 15,774.75 is: 34,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.56 : 15,774.75 = 15,774.75 : x
  2. Step 2: Convert to fraction form
    7,254.56/15,774.75 = 15,774.75/x
  3. Step 3: Cross multiply
    7,254.56x = 15,774.75 × 15,774.75
  4. Step 4: Simplify right side
    7,254.56x = 248,842,737.56
  5. Step 5: Solve for x
    x = 248,842,737.56/7,254.56
  6. Step 6: Final answer
    x = 34,301.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.