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Finding the Third Proportional to 30,970.50 and 39,165.75

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Solution

The third proportional to 30,970.50 and 39,165.75 is: 49,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.50 : 39,165.75 = 39,165.75 : x
  2. Step 2: Convert to fraction form
    30,970.50/39,165.75 = 39,165.75/x
  3. Step 3: Cross multiply
    30,970.50x = 39,165.75 × 39,165.75
  4. Step 4: Simplify right side
    30,970.50x = 1,533,955,973.06
  5. Step 5: Solve for x
    x = 1,533,955,973.06/30,970.50
  6. Step 6: Final answer
    x = 49,529.58

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.