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Finding the Third Proportional to 15,719.63 and 21,360.38

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Solution

The third proportional to 15,719.63 and 21,360.38 is: 29,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.63 : 21,360.38 = 21,360.38 : x
  2. Step 2: Convert to fraction form
    15,719.63/21,360.38 = 21,360.38/x
  3. Step 3: Cross multiply
    15,719.63x = 21,360.38 × 21,360.38
  4. Step 4: Simplify right side
    15,719.63x = 456,265,620.14
  5. Step 5: Solve for x
    x = 456,265,620.14/15,719.63
  6. Step 6: Final answer
    x = 29,025.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.