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Finding the Third Proportional to 16,862.25 and 24,746.63

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Solution

The third proportional to 16,862.25 and 24,746.63 is: 36,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,862.25 : 24,746.63 = 24,746.63 : x
  2. Step 2: Convert to fraction form
    16,862.25/24,746.63 = 24,746.63/x
  3. Step 3: Cross multiply
    16,862.25x = 24,746.63 × 24,746.63
  4. Step 4: Simplify right side
    16,862.25x = 612,395,448.89
  5. Step 5: Solve for x
    x = 612,395,448.89/16,862.25
  6. Step 6: Final answer
    x = 36,317.54

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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.