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Finding the Third Proportional to 39,477 and 83,389.50

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Solution

The third proportional to 39,477 and 83,389.50 is: 176,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477 : 83,389.50 = 83,389.50 : x
  2. Step 2: Convert to fraction form
    39,477/83,389.50 = 83,389.50/x
  3. Step 3: Cross multiply
    39,477x = 83,389.50 × 83,389.50
  4. Step 4: Simplify right side
    39,477x = 6,953,808,710.25
  5. Step 5: Solve for x
    x = 6,953,808,710.25/39,477
  6. Step 6: Final answer
    x = 176,148.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.