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Finding the Third Proportional to 7,292.53 and 15,903.84

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Solution

The third proportional to 7,292.53 and 15,903.84 is: 34,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.53 : 15,903.84 = 15,903.84 : x
  2. Step 2: Convert to fraction form
    7,292.53/15,903.84 = 15,903.84/x
  3. Step 3: Cross multiply
    7,292.53x = 15,903.84 × 15,903.84
  4. Step 4: Simplify right side
    7,292.53x = 252,932,246.02
  5. Step 5: Solve for x
    x = 252,932,246.02/7,292.53
  6. Step 6: Final answer
    x = 34,683.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.