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Finding the Third Proportional to 26,265 and 38,533.50

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Solution

The third proportional to 26,265 and 38,533.50 is: 56,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,265 : 38,533.50 = 38,533.50 : x
  2. Step 2: Convert to fraction form
    26,265/38,533.50 = 38,533.50/x
  3. Step 3: Cross multiply
    26,265x = 38,533.50 × 38,533.50
  4. Step 4: Simplify right side
    26,265x = 1,484,830,622.25
  5. Step 5: Solve for x
    x = 1,484,830,622.25/26,265
  6. Step 6: Final answer
    x = 56,532.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.