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Finding the Third Proportional to 4,457.53 and 6,929.30

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Solution

The third proportional to 4,457.53 and 6,929.30 is: 10,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.53 : 6,929.30 = 6,929.30 : x
  2. Step 2: Convert to fraction form
    4,457.53/6,929.30 = 6,929.30/x
  3. Step 3: Cross multiply
    4,457.53x = 6,929.30 × 6,929.30
  4. Step 4: Simplify right side
    4,457.53x = 48,015,155.18
  5. Step 5: Solve for x
    x = 48,015,155.18/4,457.53
  6. Step 6: Final answer
    x = 10,771.69

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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.