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Finding the Third Proportional to 11,643.75 and 25,140.38

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Solution

The third proportional to 11,643.75 and 25,140.38 is: 54,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.75 : 25,140.38 = 25,140.38 : x
  2. Step 2: Convert to fraction form
    11,643.75/25,140.38 = 25,140.38/x
  3. Step 3: Cross multiply
    11,643.75x = 25,140.38 × 25,140.38
  4. Step 4: Simplify right side
    11,643.75x = 632,038,455.14
  5. Step 5: Solve for x
    x = 632,038,455.14/11,643.75
  6. Step 6: Final answer
    x = 54,281.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.