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Finding the Third Proportional to 3,445 and 4,672.50

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Solution

The third proportional to 3,445 and 4,672.50 is: 6,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445 : 4,672.50 = 4,672.50 : x
  2. Step 2: Convert to fraction form
    3,445/4,672.50 = 4,672.50/x
  3. Step 3: Cross multiply
    3,445x = 4,672.50 × 4,672.50
  4. Step 4: Simplify right side
    3,445x = 21,832,256.25
  5. Step 5: Solve for x
    x = 21,832,256.25/3,445
  6. Step 6: Final answer
    x = 6,337.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.