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Finding the Third Proportional to 16,031.25 and 35,345.25

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Solution

The third proportional to 16,031.25 and 35,345.25 is: 77,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.25 : 35,345.25 = 35,345.25 : x
  2. Step 2: Convert to fraction form
    16,031.25/35,345.25 = 35,345.25/x
  3. Step 3: Cross multiply
    16,031.25x = 35,345.25 × 35,345.25
  4. Step 4: Simplify right side
    16,031.25x = 1,249,286,697.56
  5. Step 5: Solve for x
    x = 1,249,286,697.56/16,031.25
  6. Step 6: Final answer
    x = 77,928.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.