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Finding the Third Proportional to 8,985 and 14,827.50

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Solution

The third proportional to 8,985 and 14,827.50 is: 24,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985 : 14,827.50 = 14,827.50 : x
  2. Step 2: Convert to fraction form
    8,985/14,827.50 = 14,827.50/x
  3. Step 3: Cross multiply
    8,985x = 14,827.50 × 14,827.50
  4. Step 4: Simplify right side
    8,985x = 219,854,756.25
  5. Step 5: Solve for x
    x = 219,854,756.25/8,985
  6. Step 6: Final answer
    x = 24,469.09

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.