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Finding the Third Proportional to 13,435.24 and 28,989.14

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Solution

The third proportional to 13,435.24 and 28,989.14 is: 62,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.24 : 28,989.14 = 28,989.14 : x
  2. Step 2: Convert to fraction form
    13,435.24/28,989.14 = 28,989.14/x
  3. Step 3: Cross multiply
    13,435.24x = 28,989.14 × 28,989.14
  4. Step 4: Simplify right side
    13,435.24x = 840,370,274.18
  5. Step 5: Solve for x
    x = 840,370,274.18/13,435.24
  6. Step 6: Final answer
    x = 62,549.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.