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Finding the Third Proportional to 16,080 and 35,710.50

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Solution

The third proportional to 16,080 and 35,710.50 is: 79,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,080 : 35,710.50 = 35,710.50 : x
  2. Step 2: Convert to fraction form
    16,080/35,710.50 = 35,710.50/x
  3. Step 3: Cross multiply
    16,080x = 35,710.50 × 35,710.50
  4. Step 4: Simplify right side
    16,080x = 1,275,239,810.25
  5. Step 5: Solve for x
    x = 1,275,239,810.25/16,080
  6. Step 6: Final answer
    x = 79,305.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.