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Finding the Third Proportional to 16,357.50 and 24,628.50

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Solution

The third proportional to 16,357.50 and 24,628.50 is: 37,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.50 : 24,628.50 = 24,628.50 : x
  2. Step 2: Convert to fraction form
    16,357.50/24,628.50 = 24,628.50/x
  3. Step 3: Cross multiply
    16,357.50x = 24,628.50 × 24,628.50
  4. Step 4: Simplify right side
    16,357.50x = 606,563,012.25
  5. Step 5: Solve for x
    x = 606,563,012.25/16,357.50
  6. Step 6: Final answer
    x = 37,081.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.