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Finding the Third Proportional to 25,438.50 and 37,395.70

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Solution

The third proportional to 25,438.50 and 37,395.70 is: 54,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.50 : 37,395.70 = 37,395.70 : x
  2. Step 2: Convert to fraction form
    25,438.50/37,395.70 = 37,395.70/x
  3. Step 3: Cross multiply
    25,438.50x = 37,395.70 × 37,395.70
  4. Step 4: Simplify right side
    25,438.50x = 1,398,438,612.21
  5. Step 5: Solve for x
    x = 1,398,438,612.21/25,438.50
  6. Step 6: Final answer
    x = 54,973.31

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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.