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Finding the Third Proportional to 15,852.59 and 24,580.34

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Solution

The third proportional to 15,852.59 and 24,580.34 is: 38,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.59 : 24,580.34 = 24,580.34 : x
  2. Step 2: Convert to fraction form
    15,852.59/24,580.34 = 24,580.34/x
  3. Step 3: Cross multiply
    15,852.59x = 24,580.34 × 24,580.34
  4. Step 4: Simplify right side
    15,852.59x = 604,192,914.80
  5. Step 5: Solve for x
    x = 604,192,914.80/15,852.59
  6. Step 6: Final answer
    x = 38,113.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.