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Finding the Third Proportional to 6,258.09 and 9,746.16

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Solution

The third proportional to 6,258.09 and 9,746.16 is: 15,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.09 : 9,746.16 = 9,746.16 : x
  2. Step 2: Convert to fraction form
    6,258.09/9,746.16 = 9,746.16/x
  3. Step 3: Cross multiply
    6,258.09x = 9,746.16 × 9,746.16
  4. Step 4: Simplify right side
    6,258.09x = 94,987,561.65
  5. Step 5: Solve for x
    x = 94,987,561.65/6,258.09
  6. Step 6: Final answer
    x = 15,178.35

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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.