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Finding the Third Proportional to 35.63 and 48.10

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Solution

The third proportional to 35.63 and 48.10 is: 64.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.63 : 48.10 = 48.10 : x
  2. Step 2: Convert to fraction form
    35.63/48.10 = 48.10/x
  3. Step 3: Cross multiply
    35.63x = 48.10 × 48.10
  4. Step 4: Simplify right side
    35.63x = 2,313.64
  5. Step 5: Solve for x
    x = 2,313.64/35.63
  6. Step 6: Final answer
    x = 64.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.