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Finding the Third Proportional to 4,537 and 8,594.50

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Solution

The third proportional to 4,537 and 8,594.50 is: 16,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537 : 8,594.50 = 8,594.50 : x
  2. Step 2: Convert to fraction form
    4,537/8,594.50 = 8,594.50/x
  3. Step 3: Cross multiply
    4,537x = 8,594.50 × 8,594.50
  4. Step 4: Simplify right side
    4,537x = 73,865,430.25
  5. Step 5: Solve for x
    x = 73,865,430.25/4,537
  6. Step 6: Final answer
    x = 16,280.68

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.