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Finding the Third Proportional to 25,241.63 and 53,097.40

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Solution

The third proportional to 25,241.63 and 53,097.40 is: 111,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,241.63 : 53,097.40 = 53,097.40 : x
  2. Step 2: Convert to fraction form
    25,241.63/53,097.40 = 53,097.40/x
  3. Step 3: Cross multiply
    25,241.63x = 53,097.40 × 53,097.40
  4. Step 4: Simplify right side
    25,241.63x = 2,819,333,720.83
  5. Step 5: Solve for x
    x = 2,819,333,720.83/25,241.63
  6. Step 6: Final answer
    x = 111,693.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.