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Finding the Third Proportional to 19,643.63 and 29,476.13

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Solution

The third proportional to 19,643.63 and 29,476.13 is: 44,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.63 : 29,476.13 = 29,476.13 : x
  2. Step 2: Convert to fraction form
    19,643.63/29,476.13 = 29,476.13/x
  3. Step 3: Cross multiply
    19,643.63x = 29,476.13 × 29,476.13
  4. Step 4: Simplify right side
    19,643.63x = 868,841,945.02
  5. Step 5: Solve for x
    x = 868,841,945.02/19,643.63
  6. Step 6: Final answer
    x = 44,230.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.