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Finding the Third Proportional to 7,772.63 and 10,130.06

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Solution

The third proportional to 7,772.63 and 10,130.06 is: 13,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.63 : 10,130.06 = 10,130.06 : x
  2. Step 2: Convert to fraction form
    7,772.63/10,130.06 = 10,130.06/x
  3. Step 3: Cross multiply
    7,772.63x = 10,130.06 × 10,130.06
  4. Step 4: Simplify right side
    7,772.63x = 102,618,166.25
  5. Step 5: Solve for x
    x = 102,618,166.25/7,772.63
  6. Step 6: Final answer
    x = 13,202.51

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.