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Finding the Third Proportional to 39,582 and 86,674.50

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Solution

The third proportional to 39,582 and 86,674.50 is: 189,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,582 : 86,674.50 = 86,674.50 : x
  2. Step 2: Convert to fraction form
    39,582/86,674.50 = 86,674.50/x
  3. Step 3: Cross multiply
    39,582x = 86,674.50 × 86,674.50
  4. Step 4: Simplify right side
    39,582x = 7,512,468,950.25
  5. Step 5: Solve for x
    x = 7,512,468,950.25/39,582
  6. Step 6: Final answer
    x = 189,795.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.