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Finding the Third Proportional to 13,416.25 and 29,424.50

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Solution

The third proportional to 13,416.25 and 29,424.50 is: 64,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.25 : 29,424.50 = 29,424.50 : x
  2. Step 2: Convert to fraction form
    13,416.25/29,424.50 = 29,424.50/x
  3. Step 3: Cross multiply
    13,416.25x = 29,424.50 × 29,424.50
  4. Step 4: Simplify right side
    13,416.25x = 865,801,200.25
  5. Step 5: Solve for x
    x = 865,801,200.25/13,416.25
  6. Step 6: Final answer
    x = 64,533.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.