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Finding the Third Proportional to 12,558.75 and 17,056.50

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Solution

The third proportional to 12,558.75 and 17,056.50 is: 23,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,558.75 : 17,056.50 = 17,056.50 : x
  2. Step 2: Convert to fraction form
    12,558.75/17,056.50 = 17,056.50/x
  3. Step 3: Cross multiply
    12,558.75x = 17,056.50 × 17,056.50
  4. Step 4: Simplify right side
    12,558.75x = 290,924,192.25
  5. Step 5: Solve for x
    x = 290,924,192.25/12,558.75
  6. Step 6: Final answer
    x = 23,165.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.