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Finding the Third Proportional to 39,130.50 and 52,422

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Solution

The third proportional to 39,130.50 and 52,422 is: 70,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,130.50 : 52,422 = 52,422 : x
  2. Step 2: Convert to fraction form
    39,130.50/52,422 = 52,422/x
  3. Step 3: Cross multiply
    39,130.50x = 52,422 × 52,422
  4. Step 4: Simplify right side
    39,130.50x = 2,748,066,084
  5. Step 5: Solve for x
    x = 2,748,066,084/39,130.50
  6. Step 6: Final answer
    x = 70,228.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.