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Finding the Third Proportional to 25,970.63 and 38,090.25

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Solution

The third proportional to 25,970.63 and 38,090.25 is: 55,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.63 : 38,090.25 = 38,090.25 : x
  2. Step 2: Convert to fraction form
    25,970.63/38,090.25 = 38,090.25/x
  3. Step 3: Cross multiply
    25,970.63x = 38,090.25 × 38,090.25
  4. Step 4: Simplify right side
    25,970.63x = 1,450,867,145.06
  5. Step 5: Solve for x
    x = 1,450,867,145.06/25,970.63
  6. Step 6: Final answer
    x = 55,865.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.