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Finding the Third Proportional to 28,496.81 and 48,896.16

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Solution

The third proportional to 28,496.81 and 48,896.16 is: 83,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,496.81 : 48,896.16 = 48,896.16 : x
  2. Step 2: Convert to fraction form
    28,496.81/48,896.16 = 48,896.16/x
  3. Step 3: Cross multiply
    28,496.81x = 48,896.16 × 48,896.16
  4. Step 4: Simplify right side
    28,496.81x = 2,390,834,096.02
  5. Step 5: Solve for x
    x = 2,390,834,096.02/28,496.81
  6. Step 6: Final answer
    x = 83,898.30

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.