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Finding the Third Proportional to 19,407.96 and 29,560.57

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Solution

The third proportional to 19,407.96 and 29,560.57 is: 45,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.96 : 29,560.57 = 29,560.57 : x
  2. Step 2: Convert to fraction form
    19,407.96/29,560.57 = 29,560.57/x
  3. Step 3: Cross multiply
    19,407.96x = 29,560.57 × 29,560.57
  4. Step 4: Simplify right side
    19,407.96x = 873,827,317.20
  5. Step 5: Solve for x
    x = 873,827,317.20/19,407.96
  6. Step 6: Final answer
    x = 45,024.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.