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Finding the Third Proportional to 39,713 and 85,528

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Solution

The third proportional to 39,713 and 85,528 is: 184,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,713 : 85,528 = 85,528 : x
  2. Step 2: Convert to fraction form
    39,713/85,528 = 85,528/x
  3. Step 3: Cross multiply
    39,713x = 85,528 × 85,528
  4. Step 4: Simplify right side
    39,713x = 7,315,038,784
  5. Step 5: Solve for x
    x = 7,315,038,784/39,713
  6. Step 6: Final answer
    x = 184,197.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.