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Finding the Third Proportional to 13,617 and 21,032.50

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Solution

The third proportional to 13,617 and 21,032.50 is: 32,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617 : 21,032.50 = 21,032.50 : x
  2. Step 2: Convert to fraction form
    13,617/21,032.50 = 21,032.50/x
  3. Step 3: Cross multiply
    13,617x = 21,032.50 × 21,032.50
  4. Step 4: Simplify right side
    13,617x = 442,366,056.25
  5. Step 5: Solve for x
    x = 442,366,056.25/13,617
  6. Step 6: Final answer
    x = 32,486.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.