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Finding the Third Proportional to 44.33 and 65.00

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Solution

The third proportional to 44.33 and 65.00 is: 95.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.33 : 65.00 = 65.00 : x
  2. Step 2: Convert to fraction form
    44.33/65.00 = 65.00/x
  3. Step 3: Cross multiply
    44.33x = 65.00 × 65.00
  4. Step 4: Simplify right side
    44.33x = 4,225.51
  5. Step 5: Solve for x
    x = 4,225.51/44.33
  6. Step 6: Final answer
    x = 95.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.