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Finding the Third Proportional to 1,209.50 and 1,537.75

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Solution

The third proportional to 1,209.50 and 1,537.75 is: 1,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.50 : 1,537.75 = 1,537.75 : x
  2. Step 2: Convert to fraction form
    1,209.50/1,537.75 = 1,537.75/x
  3. Step 3: Cross multiply
    1,209.50x = 1,537.75 × 1,537.75
  4. Step 4: Simplify right side
    1,209.50x = 2,364,675.06
  5. Step 5: Solve for x
    x = 2,364,675.06/1,209.50
  6. Step 6: Final answer
    x = 1,955.08

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.