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Finding the Third Proportional to 1,762 and 4,070.50

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Solution

The third proportional to 1,762 and 4,070.50 is: 9,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762 : 4,070.50 = 4,070.50 : x
  2. Step 2: Convert to fraction form
    1,762/4,070.50 = 4,070.50/x
  3. Step 3: Cross multiply
    1,762x = 4,070.50 × 4,070.50
  4. Step 4: Simplify right side
    1,762x = 16,568,970.25
  5. Step 5: Solve for x
    x = 16,568,970.25/1,762
  6. Step 6: Final answer
    x = 9,403.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.