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Finding the Third Proportional to 15,153.75 and 30,924

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Solution

The third proportional to 15,153.75 and 30,924 is: 63,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.75 : 30,924 = 30,924 : x
  2. Step 2: Convert to fraction form
    15,153.75/30,924 = 30,924/x
  3. Step 3: Cross multiply
    15,153.75x = 30,924 × 30,924
  4. Step 4: Simplify right side
    15,153.75x = 956,293,776
  5. Step 5: Solve for x
    x = 956,293,776/15,153.75
  6. Step 6: Final answer
    x = 63,106.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.