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Finding the Third Proportional to 15,205 and 23,533.50

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Solution

The third proportional to 15,205 and 23,533.50 is: 36,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205 : 23,533.50 = 23,533.50 : x
  2. Step 2: Convert to fraction form
    15,205/23,533.50 = 23,533.50/x
  3. Step 3: Cross multiply
    15,205x = 23,533.50 × 23,533.50
  4. Step 4: Simplify right side
    15,205x = 553,825,622.25
  5. Step 5: Solve for x
    x = 553,825,622.25/15,205
  6. Step 6: Final answer
    x = 36,423.91

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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.