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Finding the Third Proportional to 39,803 and 83,702

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Solution

The third proportional to 39,803 and 83,702 is: 176,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,803 : 83,702 = 83,702 : x
  2. Step 2: Convert to fraction form
    39,803/83,702 = 83,702/x
  3. Step 3: Cross multiply
    39,803x = 83,702 × 83,702
  4. Step 4: Simplify right side
    39,803x = 7,006,024,804
  5. Step 5: Solve for x
    x = 7,006,024,804/39,803
  6. Step 6: Final answer
    x = 176,017.51

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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.