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Finding the Third Proportional to 1,312.25 and 2,840.50

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Solution

The third proportional to 1,312.25 and 2,840.50 is: 6,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.25 : 2,840.50 = 2,840.50 : x
  2. Step 2: Convert to fraction form
    1,312.25/2,840.50 = 2,840.50/x
  3. Step 3: Cross multiply
    1,312.25x = 2,840.50 × 2,840.50
  4. Step 4: Simplify right side
    1,312.25x = 8,068,440.25
  5. Step 5: Solve for x
    x = 8,068,440.25/1,312.25
  6. Step 6: Final answer
    x = 6,148.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.