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Finding the Third Proportional to 3,492.65 and 4,707.18

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Solution

The third proportional to 3,492.65 and 4,707.18 is: 6,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.65 : 4,707.18 = 4,707.18 : x
  2. Step 2: Convert to fraction form
    3,492.65/4,707.18 = 4,707.18/x
  3. Step 3: Cross multiply
    3,492.65x = 4,707.18 × 4,707.18
  4. Step 4: Simplify right side
    3,492.65x = 22,157,503.84
  5. Step 5: Solve for x
    x = 22,157,503.84/3,492.65
  6. Step 6: Final answer
    x = 6,344.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.