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Finding the Third Proportional to 27,200.81 and 40,970.81

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Solution

The third proportional to 27,200.81 and 40,970.81 is: 61,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.81 : 40,970.81 = 40,970.81 : x
  2. Step 2: Convert to fraction form
    27,200.81/40,970.81 = 40,970.81/x
  3. Step 3: Cross multiply
    27,200.81x = 40,970.81 × 40,970.81
  4. Step 4: Simplify right side
    27,200.81x = 1,678,607,476.91
  5. Step 5: Solve for x
    x = 1,678,607,476.91/27,200.81
  6. Step 6: Final answer
    x = 61,711.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.