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Finding the Third Proportional to 4,045.50 and 4,720.50

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Solution

The third proportional to 4,045.50 and 4,720.50 is: 5,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045.50 : 4,720.50 = 4,720.50 : x
  2. Step 2: Convert to fraction form
    4,045.50/4,720.50 = 4,720.50/x
  3. Step 3: Cross multiply
    4,045.50x = 4,720.50 × 4,720.50
  4. Step 4: Simplify right side
    4,045.50x = 22,283,120.25
  5. Step 5: Solve for x
    x = 22,283,120.25/4,045.50
  6. Step 6: Final answer
    x = 5,508.13

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.