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Finding the Third Proportional to 16,032.94 and 39,307.78

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Solution

The third proportional to 16,032.94 and 39,307.78 is: 96,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.94 : 39,307.78 = 39,307.78 : x
  2. Step 2: Convert to fraction form
    16,032.94/39,307.78 = 39,307.78/x
  3. Step 3: Cross multiply
    16,032.94x = 39,307.78 × 39,307.78
  4. Step 4: Simplify right side
    16,032.94x = 1,545,101,666.80
  5. Step 5: Solve for x
    x = 1,545,101,666.80/16,032.94
  6. Step 6: Final answer
    x = 96,370.47

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.