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Finding the Third Proportional to 16,488 and 38,905.50

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Solution

The third proportional to 16,488 and 38,905.50 is: 91,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 38,905.50 = 38,905.50 : x
  2. Step 2: Convert to fraction form
    16,488/38,905.50 = 38,905.50/x
  3. Step 3: Cross multiply
    16,488x = 38,905.50 × 38,905.50
  4. Step 4: Simplify right side
    16,488x = 1,513,637,930.25
  5. Step 5: Solve for x
    x = 1,513,637,930.25/16,488
  6. Step 6: Final answer
    x = 91,802.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.