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Finding the Third Proportional to 4,522.16 and 6,988.25

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Solution

The third proportional to 4,522.16 and 6,988.25 is: 10,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.16 : 6,988.25 = 6,988.25 : x
  2. Step 2: Convert to fraction form
    4,522.16/6,988.25 = 6,988.25/x
  3. Step 3: Cross multiply
    4,522.16x = 6,988.25 × 6,988.25
  4. Step 4: Simplify right side
    4,522.16x = 48,835,638.06
  5. Step 5: Solve for x
    x = 48,835,638.06/4,522.16
  6. Step 6: Final answer
    x = 10,799.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.