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Finding the Third Proportional to 19,823.50 and 29,187.75

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Solution

The third proportional to 19,823.50 and 29,187.75 is: 42,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.50 : 29,187.75 = 29,187.75 : x
  2. Step 2: Convert to fraction form
    19,823.50/29,187.75 = 29,187.75/x
  3. Step 3: Cross multiply
    19,823.50x = 29,187.75 × 29,187.75
  4. Step 4: Simplify right side
    19,823.50x = 851,924,750.06
  5. Step 5: Solve for x
    x = 851,924,750.06/19,823.50
  6. Step 6: Final answer
    x = 42,975.50

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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.