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Finding the Third Proportional to 25,681 and 36,058.50

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Solution

The third proportional to 25,681 and 36,058.50 is: 50,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,681 : 36,058.50 = 36,058.50 : x
  2. Step 2: Convert to fraction form
    25,681/36,058.50 = 36,058.50/x
  3. Step 3: Cross multiply
    25,681x = 36,058.50 × 36,058.50
  4. Step 4: Simplify right side
    25,681x = 1,300,215,422.25
  5. Step 5: Solve for x
    x = 1,300,215,422.25/25,681
  6. Step 6: Final answer
    x = 50,629.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.