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Finding the Third Proportional to 7,973.44 and 18,623.67

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Solution

The third proportional to 7,973.44 and 18,623.67 is: 43,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.44 : 18,623.67 = 18,623.67 : x
  2. Step 2: Convert to fraction form
    7,973.44/18,623.67 = 18,623.67/x
  3. Step 3: Cross multiply
    7,973.44x = 18,623.67 × 18,623.67
  4. Step 4: Simplify right side
    7,973.44x = 346,841,154.11
  5. Step 5: Solve for x
    x = 346,841,154.11/7,973.44
  6. Step 6: Final answer
    x = 43,499.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.