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Finding the Third Proportional to 25,177.50 and 37,070.25

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Solution

The third proportional to 25,177.50 and 37,070.25 is: 54,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.50 : 37,070.25 = 37,070.25 : x
  2. Step 2: Convert to fraction form
    25,177.50/37,070.25 = 37,070.25/x
  3. Step 3: Cross multiply
    25,177.50x = 37,070.25 × 37,070.25
  4. Step 4: Simplify right side
    25,177.50x = 1,374,203,435.06
  5. Step 5: Solve for x
    x = 1,374,203,435.06/25,177.50
  6. Step 6: Final answer
    x = 54,580.62

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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.