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Finding the Third Proportional to 10,870.50 and 14,358.75

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Solution

The third proportional to 10,870.50 and 14,358.75 is: 18,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.50 : 14,358.75 = 14,358.75 : x
  2. Step 2: Convert to fraction form
    10,870.50/14,358.75 = 14,358.75/x
  3. Step 3: Cross multiply
    10,870.50x = 14,358.75 × 14,358.75
  4. Step 4: Simplify right side
    10,870.50x = 206,173,701.56
  5. Step 5: Solve for x
    x = 206,173,701.56/10,870.50
  6. Step 6: Final answer
    x = 18,966.35

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.