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Finding the Third Proportional to 760.50 and 1,751.06

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Solution

The third proportional to 760.50 and 1,751.06 is: 4,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.50 : 1,751.06 = 1,751.06 : x
  2. Step 2: Convert to fraction form
    760.50/1,751.06 = 1,751.06/x
  3. Step 3: Cross multiply
    760.50x = 1,751.06 × 1,751.06
  4. Step 4: Simplify right side
    760.50x = 3,066,219.88
  5. Step 5: Solve for x
    x = 3,066,219.88/760.50
  6. Step 6: Final answer
    x = 4,031.85

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.