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Finding the Third Proportional to 14,970.75 and 32,433.75

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Solution

The third proportional to 14,970.75 and 32,433.75 is: 70,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.75 : 32,433.75 = 32,433.75 : x
  2. Step 2: Convert to fraction form
    14,970.75/32,433.75 = 32,433.75/x
  3. Step 3: Cross multiply
    14,970.75x = 32,433.75 × 32,433.75
  4. Step 4: Simplify right side
    14,970.75x = 1,051,948,139.06
  5. Step 5: Solve for x
    x = 1,051,948,139.06/14,970.75
  6. Step 6: Final answer
    x = 70,266.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.