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Finding the Third Proportional to 10.50 and 15.35

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Solution

The third proportional to 10.50 and 15.35 is: 22.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.50 : 15.35 = 15.35 : x
  2. Step 2: Convert to fraction form
    10.50/15.35 = 15.35/x
  3. Step 3: Cross multiply
    10.50x = 15.35 × 15.35
  4. Step 4: Simplify right side
    10.50x = 235.60
  5. Step 5: Solve for x
    x = 235.60/10.50
  6. Step 6: Final answer
    x = 22.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.