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Finding the Third Proportional to 3,089.81 and 4,528.41

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Solution

The third proportional to 3,089.81 and 4,528.41 is: 6,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.81 : 4,528.41 = 4,528.41 : x
  2. Step 2: Convert to fraction form
    3,089.81/4,528.41 = 4,528.41/x
  3. Step 3: Cross multiply
    3,089.81x = 4,528.41 × 4,528.41
  4. Step 4: Simplify right side
    3,089.81x = 20,506,463.17
  5. Step 5: Solve for x
    x = 20,506,463.17/3,089.81
  6. Step 6: Final answer
    x = 6,636.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.