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Finding the Third Proportional to 40,574 and 87,389.50

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Solution

The third proportional to 40,574 and 87,389.50 is: 188,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,574 : 87,389.50 = 87,389.50 : x
  2. Step 2: Convert to fraction form
    40,574/87,389.50 = 87,389.50/x
  3. Step 3: Cross multiply
    40,574x = 87,389.50 × 87,389.50
  4. Step 4: Simplify right side
    40,574x = 7,636,924,710.25
  5. Step 5: Solve for x
    x = 7,636,924,710.25/40,574
  6. Step 6: Final answer
    x = 188,222.13

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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.