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Finding the Third Proportional to 8,749 and 13,913.50

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Solution

The third proportional to 8,749 and 13,913.50 is: 22,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749 : 13,913.50 = 13,913.50 : x
  2. Step 2: Convert to fraction form
    8,749/13,913.50 = 13,913.50/x
  3. Step 3: Cross multiply
    8,749x = 13,913.50 × 13,913.50
  4. Step 4: Simplify right side
    8,749x = 193,585,482.25
  5. Step 5: Solve for x
    x = 193,585,482.25/8,749
  6. Step 6: Final answer
    x = 22,126.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.