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Finding the Third Proportional to 14,152.50 and 19,153.13

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Solution

The third proportional to 14,152.50 and 19,153.13 is: 25,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.50 : 19,153.13 = 19,153.13 : x
  2. Step 2: Convert to fraction form
    14,152.50/19,153.13 = 19,153.13/x
  3. Step 3: Cross multiply
    14,152.50x = 19,153.13 × 19,153.13
  4. Step 4: Simplify right side
    14,152.50x = 366,842,197.27
  5. Step 5: Solve for x
    x = 366,842,197.27/14,152.50
  6. Step 6: Final answer
    x = 25,920.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.