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Finding the Third Proportional to 5,130.75 and 10,627.50

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Solution

The third proportional to 5,130.75 and 10,627.50 is: 22,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.75 : 10,627.50 = 10,627.50 : x
  2. Step 2: Convert to fraction form
    5,130.75/10,627.50 = 10,627.50/x
  3. Step 3: Cross multiply
    5,130.75x = 10,627.50 × 10,627.50
  4. Step 4: Simplify right side
    5,130.75x = 112,943,756.25
  5. Step 5: Solve for x
    x = 112,943,756.25/5,130.75
  6. Step 6: Final answer
    x = 22,013.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.