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Finding the Third Proportional to 7,565.06 and 8,618.06

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Solution

The third proportional to 7,565.06 and 8,618.06 is: 9,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.06 : 8,618.06 = 8,618.06 : x
  2. Step 2: Convert to fraction form
    7,565.06/8,618.06 = 8,618.06/x
  3. Step 3: Cross multiply
    7,565.06x = 8,618.06 × 8,618.06
  4. Step 4: Simplify right side
    7,565.06x = 74,271,001.25
  5. Step 5: Solve for x
    x = 74,271,001.25/7,565.06
  6. Step 6: Final answer
    x = 9,817.63

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.