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Finding the Third Proportional to 39,415 and 57,970

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Solution

The third proportional to 39,415 and 57,970 is: 85,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,415 : 57,970 = 57,970 : x
  2. Step 2: Convert to fraction form
    39,415/57,970 = 57,970/x
  3. Step 3: Cross multiply
    39,415x = 57,970 × 57,970
  4. Step 4: Simplify right side
    39,415x = 3,360,520,900
  5. Step 5: Solve for x
    x = 3,360,520,900/39,415
  6. Step 6: Final answer
    x = 85,259.95

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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.