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Finding the Third Proportional to 10,485.07 and 15,750.07

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Solution

The third proportional to 10,485.07 and 15,750.07 is: 23,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.07 : 15,750.07 = 15,750.07 : x
  2. Step 2: Convert to fraction form
    10,485.07/15,750.07 = 15,750.07/x
  3. Step 3: Cross multiply
    10,485.07x = 15,750.07 × 15,750.07
  4. Step 4: Simplify right side
    10,485.07x = 248,064,714.85
  5. Step 5: Solve for x
    x = 248,064,714.85/10,485.07
  6. Step 6: Final answer
    x = 23,658.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.