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Finding the Third Proportional to 14,719.50 and 22,522.50

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Solution

The third proportional to 14,719.50 and 22,522.50 is: 34,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.50 : 22,522.50 = 22,522.50 : x
  2. Step 2: Convert to fraction form
    14,719.50/22,522.50 = 22,522.50/x
  3. Step 3: Cross multiply
    14,719.50x = 22,522.50 × 22,522.50
  4. Step 4: Simplify right side
    14,719.50x = 507,263,006.25
  5. Step 5: Solve for x
    x = 507,263,006.25/14,719.50
  6. Step 6: Final answer
    x = 34,461.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.