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Finding the Third Proportional to 4,829 and 7,531.50

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Solution

The third proportional to 4,829 and 7,531.50 is: 11,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829 : 7,531.50 = 7,531.50 : x
  2. Step 2: Convert to fraction form
    4,829/7,531.50 = 7,531.50/x
  3. Step 3: Cross multiply
    4,829x = 7,531.50 × 7,531.50
  4. Step 4: Simplify right side
    4,829x = 56,723,492.25
  5. Step 5: Solve for x
    x = 56,723,492.25/4,829
  6. Step 6: Final answer
    x = 11,746.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.