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Finding the Third Proportional to 9,707.34 and 14,992.59

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Solution

The third proportional to 9,707.34 and 14,992.59 is: 23,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.34 : 14,992.59 = 14,992.59 : x
  2. Step 2: Convert to fraction form
    9,707.34/14,992.59 = 14,992.59/x
  3. Step 3: Cross multiply
    9,707.34x = 14,992.59 × 14,992.59
  4. Step 4: Simplify right side
    9,707.34x = 224,777,867.35
  5. Step 5: Solve for x
    x = 224,777,867.35/9,707.34
  6. Step 6: Final answer
    x = 23,155.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.