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Finding the Third Proportional to 13,423.22 and 29,153.25

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Solution

The third proportional to 13,423.22 and 29,153.25 is: 63,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.22 : 29,153.25 = 29,153.25 : x
  2. Step 2: Convert to fraction form
    13,423.22/29,153.25 = 29,153.25/x
  3. Step 3: Cross multiply
    13,423.22x = 29,153.25 × 29,153.25
  4. Step 4: Simplify right side
    13,423.22x = 849,911,985.56
  5. Step 5: Solve for x
    x = 849,911,985.56/13,423.22
  6. Step 6: Final answer
    x = 63,316.56

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Why These Related Problems?

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