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Finding the Third Proportional to 10,559.50 and 16,719.50

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Solution

The third proportional to 10,559.50 and 16,719.50 is: 26,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.50 : 16,719.50 = 16,719.50 : x
  2. Step 2: Convert to fraction form
    10,559.50/16,719.50 = 16,719.50/x
  3. Step 3: Cross multiply
    10,559.50x = 16,719.50 × 16,719.50
  4. Step 4: Simplify right side
    10,559.50x = 279,541,680.25
  5. Step 5: Solve for x
    x = 279,541,680.25/10,559.50
  6. Step 6: Final answer
    x = 26,473.00

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.