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Finding the Third Proportional to 44,681 and 65,653

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Solution

The third proportional to 44,681 and 65,653 is: 96,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,681 : 65,653 = 65,653 : x
  2. Step 2: Convert to fraction form
    44,681/65,653 = 65,653/x
  3. Step 3: Cross multiply
    44,681x = 65,653 × 65,653
  4. Step 4: Simplify right side
    44,681x = 4,310,316,409
  5. Step 5: Solve for x
    x = 4,310,316,409/44,681
  6. Step 6: Final answer
    x = 96,468.66

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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.