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Finding the Third Proportional to 14,927.25 and 23,298.75

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Solution

The third proportional to 14,927.25 and 23,298.75 is: 36,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,927.25 : 23,298.75 = 23,298.75 : x
  2. Step 2: Convert to fraction form
    14,927.25/23,298.75 = 23,298.75/x
  3. Step 3: Cross multiply
    14,927.25x = 23,298.75 × 23,298.75
  4. Step 4: Simplify right side
    14,927.25x = 542,831,751.56
  5. Step 5: Solve for x
    x = 542,831,751.56/14,927.25
  6. Step 6: Final answer
    x = 36,365.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.