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Finding the Third Proportional to 7,904.25 and 12,335.63

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Solution

The third proportional to 7,904.25 and 12,335.63 is: 19,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.25 : 12,335.63 = 12,335.63 : x
  2. Step 2: Convert to fraction form
    7,904.25/12,335.63 = 12,335.63/x
  3. Step 3: Cross multiply
    7,904.25x = 12,335.63 × 12,335.63
  4. Step 4: Simplify right side
    7,904.25x = 152,167,644.14
  5. Step 5: Solve for x
    x = 152,167,644.14/7,904.25
  6. Step 6: Final answer
    x = 19,251.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.