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Finding the Third Proportional to 15,123.75 and 32,434.50

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Solution

The third proportional to 15,123.75 and 32,434.50 is: 69,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.75 : 32,434.50 = 32,434.50 : x
  2. Step 2: Convert to fraction form
    15,123.75/32,434.50 = 32,434.50/x
  3. Step 3: Cross multiply
    15,123.75x = 32,434.50 × 32,434.50
  4. Step 4: Simplify right side
    15,123.75x = 1,051,996,790.25
  5. Step 5: Solve for x
    x = 1,051,996,790.25/15,123.75
  6. Step 6: Final answer
    x = 69,559.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.