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Finding the Third Proportional to 25,275 and 52,615.50

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Solution

The third proportional to 25,275 and 52,615.50 is: 109,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275 : 52,615.50 = 52,615.50 : x
  2. Step 2: Convert to fraction form
    25,275/52,615.50 = 52,615.50/x
  3. Step 3: Cross multiply
    25,275x = 52,615.50 × 52,615.50
  4. Step 4: Simplify right side
    25,275x = 2,768,390,840.25
  5. Step 5: Solve for x
    x = 2,768,390,840.25/25,275
  6. Step 6: Final answer
    x = 109,530.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.