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Finding the Third Proportional to 25,235.63 and 53,085.56

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Solution

The third proportional to 25,235.63 and 53,085.56 is: 111,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235.63 : 53,085.56 = 53,085.56 : x
  2. Step 2: Convert to fraction form
    25,235.63/53,085.56 = 53,085.56/x
  3. Step 3: Cross multiply
    25,235.63x = 53,085.56 × 53,085.56
  4. Step 4: Simplify right side
    25,235.63x = 2,818,076,945.94
  5. Step 5: Solve for x
    x = 2,818,076,945.94/25,235.63
  6. Step 6: Final answer
    x = 111,670.58

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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.