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Finding the Third Proportional to 19,825.63 and 28,947.13

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Solution

The third proportional to 19,825.63 and 28,947.13 is: 42,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.63 : 28,947.13 = 28,947.13 : x
  2. Step 2: Convert to fraction form
    19,825.63/28,947.13 = 28,947.13/x
  3. Step 3: Cross multiply
    19,825.63x = 28,947.13 × 28,947.13
  4. Step 4: Simplify right side
    19,825.63x = 837,936,045.77
  5. Step 5: Solve for x
    x = 837,936,045.77/19,825.63
  6. Step 6: Final answer
    x = 42,265.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.