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Finding the Third Proportional to 15,922 and 24,551.50

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Solution

The third proportional to 15,922 and 24,551.50 is: 37,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922 : 24,551.50 = 24,551.50 : x
  2. Step 2: Convert to fraction form
    15,922/24,551.50 = 24,551.50/x
  3. Step 3: Cross multiply
    15,922x = 24,551.50 × 24,551.50
  4. Step 4: Simplify right side
    15,922x = 602,776,152.25
  5. Step 5: Solve for x
    x = 602,776,152.25/15,922
  6. Step 6: Final answer
    x = 37,858.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.