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Finding the Third Proportional to 7,973.44 and 13,618.13

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Solution

The third proportional to 7,973.44 and 13,618.13 is: 23,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.44 : 13,618.13 = 13,618.13 : x
  2. Step 2: Convert to fraction form
    7,973.44/13,618.13 = 13,618.13/x
  3. Step 3: Cross multiply
    7,973.44x = 13,618.13 × 13,618.13
  4. Step 4: Simplify right side
    7,973.44x = 185,453,328.52
  5. Step 5: Solve for x
    x = 185,453,328.52/7,973.44
  6. Step 6: Final answer
    x = 23,258.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.