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Finding the Third Proportional to 16,012 and 25,572

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Solution

The third proportional to 16,012 and 25,572 is: 40,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012 : 25,572 = 25,572 : x
  2. Step 2: Convert to fraction form
    16,012/25,572 = 25,572/x
  3. Step 3: Cross multiply
    16,012x = 25,572 × 25,572
  4. Step 4: Simplify right side
    16,012x = 653,927,184
  5. Step 5: Solve for x
    x = 653,927,184/16,012
  6. Step 6: Final answer
    x = 40,839.82

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.