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Finding the Third Proportional to 7,348 and 11,088.25

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Solution

The third proportional to 7,348 and 11,088.25 is: 16,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348 : 11,088.25 = 11,088.25 : x
  2. Step 2: Convert to fraction form
    7,348/11,088.25 = 11,088.25/x
  3. Step 3: Cross multiply
    7,348x = 11,088.25 × 11,088.25
  4. Step 4: Simplify right side
    7,348x = 122,949,288.06
  5. Step 5: Solve for x
    x = 122,949,288.06/7,348
  6. Step 6: Final answer
    x = 16,732.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.