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Finding the Third Proportional to 25,575 and 54,702.75

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Solution

The third proportional to 25,575 and 54,702.75 is: 117,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575 : 54,702.75 = 54,702.75 : x
  2. Step 2: Convert to fraction form
    25,575/54,702.75 = 54,702.75/x
  3. Step 3: Cross multiply
    25,575x = 54,702.75 × 54,702.75
  4. Step 4: Simplify right side
    25,575x = 2,992,390,857.56
  5. Step 5: Solve for x
    x = 2,992,390,857.56/25,575
  6. Step 6: Final answer
    x = 117,004.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.