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Finding the Third Proportional to 28,415 and 59,765

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Solution

The third proportional to 28,415 and 59,765 is: 125,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,415 : 59,765 = 59,765 : x
  2. Step 2: Convert to fraction form
    28,415/59,765 = 59,765/x
  3. Step 3: Cross multiply
    28,415x = 59,765 × 59,765
  4. Step 4: Simplify right side
    28,415x = 3,571,855,225
  5. Step 5: Solve for x
    x = 3,571,855,225/28,415
  6. Step 6: Final answer
    x = 125,703.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.