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Finding the Third Proportional to 7,565.25 and 11,666.25

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Solution

The third proportional to 7,565.25 and 11,666.25 is: 17,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.25 : 11,666.25 = 11,666.25 : x
  2. Step 2: Convert to fraction form
    7,565.25/11,666.25 = 11,666.25/x
  3. Step 3: Cross multiply
    7,565.25x = 11,666.25 × 11,666.25
  4. Step 4: Simplify right side
    7,565.25x = 136,101,389.06
  5. Step 5: Solve for x
    x = 136,101,389.06/7,565.25
  6. Step 6: Final answer
    x = 17,990.34

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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.