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Finding the Third Proportional to 28,088 and 64,860

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Solution

The third proportional to 28,088 and 64,860 is: 149,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,088 : 64,860 = 64,860 : x
  2. Step 2: Convert to fraction form
    28,088/64,860 = 64,860/x
  3. Step 3: Cross multiply
    28,088x = 64,860 × 64,860
  4. Step 4: Simplify right side
    28,088x = 4,206,819,600
  5. Step 5: Solve for x
    x = 4,206,819,600/28,088
  6. Step 6: Final answer
    x = 149,772.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.