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Finding the Third Proportional to 11,328.19 and 24,113.53

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Solution

The third proportional to 11,328.19 and 24,113.53 is: 51,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.19 : 24,113.53 = 24,113.53 : x
  2. Step 2: Convert to fraction form
    11,328.19/24,113.53 = 24,113.53/x
  3. Step 3: Cross multiply
    11,328.19x = 24,113.53 × 24,113.53
  4. Step 4: Simplify right side
    11,328.19x = 581,462,389.34
  5. Step 5: Solve for x
    x = 581,462,389.34/11,328.19
  6. Step 6: Final answer
    x = 51,328.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.