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Finding the Third Proportional to 25,466.06 and 37,417.78

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Solution

The third proportional to 25,466.06 and 37,417.78 is: 54,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,466.06 : 37,417.78 = 37,417.78 : x
  2. Step 2: Convert to fraction form
    25,466.06/37,417.78 = 37,417.78/x
  3. Step 3: Cross multiply
    25,466.06x = 37,417.78 × 37,417.78
  4. Step 4: Simplify right side
    25,466.06x = 1,400,090,353.67
  5. Step 5: Solve for x
    x = 1,400,090,353.67/25,466.06
  6. Step 6: Final answer
    x = 54,978.67

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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.