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Finding the Third Proportional to 48,527 and 65,209

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Solution

The third proportional to 48,527 and 65,209 is: 87,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,527 : 65,209 = 65,209 : x
  2. Step 2: Convert to fraction form
    48,527/65,209 = 65,209/x
  3. Step 3: Cross multiply
    48,527x = 65,209 × 65,209
  4. Step 4: Simplify right side
    48,527x = 4,252,213,681
  5. Step 5: Solve for x
    x = 4,252,213,681/48,527
  6. Step 6: Final answer
    x = 87,625.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.