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Finding the Third Proportional to 16,302.38 and 35,719.88

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Solution

The third proportional to 16,302.38 and 35,719.88 is: 78,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.38 : 35,719.88 = 35,719.88 : x
  2. Step 2: Convert to fraction form
    16,302.38/35,719.88 = 35,719.88/x
  3. Step 3: Cross multiply
    16,302.38x = 35,719.88 × 35,719.88
  4. Step 4: Simplify right side
    16,302.38x = 1,275,909,470.02
  5. Step 5: Solve for x
    x = 1,275,909,470.02/16,302.38
  6. Step 6: Final answer
    x = 78,265.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.