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Finding the Third Proportional to 44,264 and 65,532

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Solution

The third proportional to 44,264 and 65,532 is: 97,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,264 : 65,532 = 65,532 : x
  2. Step 2: Convert to fraction form
    44,264/65,532 = 65,532/x
  3. Step 3: Cross multiply
    44,264x = 65,532 × 65,532
  4. Step 4: Simplify right side
    44,264x = 4,294,443,024
  5. Step 5: Solve for x
    x = 4,294,443,024/44,264
  6. Step 6: Final answer
    x = 97,018.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.