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Finding the Third Proportional to 9,730.13 and 9,902.25

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Solution

The third proportional to 9,730.13 and 9,902.25 is: 10,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.13 : 9,902.25 = 9,902.25 : x
  2. Step 2: Convert to fraction form
    9,730.13/9,902.25 = 9,902.25/x
  3. Step 3: Cross multiply
    9,730.13x = 9,902.25 × 9,902.25
  4. Step 4: Simplify right side
    9,730.13x = 98,054,555.06
  5. Step 5: Solve for x
    x = 98,054,555.06/9,730.13
  6. Step 6: Final answer
    x = 10,077.42

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Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.