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Finding the Third Proportional to 14,730 and 32,374.50

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Solution

The third proportional to 14,730 and 32,374.50 is: 71,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730 : 32,374.50 = 32,374.50 : x
  2. Step 2: Convert to fraction form
    14,730/32,374.50 = 32,374.50/x
  3. Step 3: Cross multiply
    14,730x = 32,374.50 × 32,374.50
  4. Step 4: Simplify right side
    14,730x = 1,048,108,250.25
  5. Step 5: Solve for x
    x = 1,048,108,250.25/14,730
  6. Step 6: Final answer
    x = 71,154.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.