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Finding the Third Proportional to 13,700.25 and 28,442.25

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Solution

The third proportional to 13,700.25 and 28,442.25 is: 59,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.25 : 28,442.25 = 28,442.25 : x
  2. Step 2: Convert to fraction form
    13,700.25/28,442.25 = 28,442.25/x
  3. Step 3: Cross multiply
    13,700.25x = 28,442.25 × 28,442.25
  4. Step 4: Simplify right side
    13,700.25x = 808,961,585.06
  5. Step 5: Solve for x
    x = 808,961,585.06/13,700.25
  6. Step 6: Final answer
    x = 59,047.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.