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Finding the Third Proportional to 49,307.25 and 72,384.75

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Solution

The third proportional to 49,307.25 and 72,384.75 is: 106,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,307.25 : 72,384.75 = 72,384.75 : x
  2. Step 2: Convert to fraction form
    49,307.25/72,384.75 = 72,384.75/x
  3. Step 3: Cross multiply
    49,307.25x = 72,384.75 × 72,384.75
  4. Step 4: Simplify right side
    49,307.25x = 5,239,552,032.56
  5. Step 5: Solve for x
    x = 5,239,552,032.56/49,307.25
  6. Step 6: Final answer
    x = 106,263.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.