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Finding the Third Proportional to 8,445 and 12,478.50

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Solution

The third proportional to 8,445 and 12,478.50 is: 18,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445 : 12,478.50 = 12,478.50 : x
  2. Step 2: Convert to fraction form
    8,445/12,478.50 = 12,478.50/x
  3. Step 3: Cross multiply
    8,445x = 12,478.50 × 12,478.50
  4. Step 4: Simplify right side
    8,445x = 155,712,962.25
  5. Step 5: Solve for x
    x = 155,712,962.25/8,445
  6. Step 6: Final answer
    x = 18,438.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.