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Finding the Third Proportional to 15,946.88 and 22,826.81

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Solution

The third proportional to 15,946.88 and 22,826.81 is: 32,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.88 : 22,826.81 = 22,826.81 : x
  2. Step 2: Convert to fraction form
    15,946.88/22,826.81 = 22,826.81/x
  3. Step 3: Cross multiply
    15,946.88x = 22,826.81 × 22,826.81
  4. Step 4: Simplify right side
    15,946.88x = 521,063,368.91
  5. Step 5: Solve for x
    x = 521,063,368.91/15,946.88
  6. Step 6: Final answer
    x = 32,674.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.