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Finding the Third Proportional to 48,432 and 65,084.63

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Solution

The third proportional to 48,432 and 65,084.63 is: 87,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432 : 65,084.63 = 65,084.63 : x
  2. Step 2: Convert to fraction form
    48,432/65,084.63 = 65,084.63/x
  3. Step 3: Cross multiply
    48,432x = 65,084.63 × 65,084.63
  4. Step 4: Simplify right side
    48,432x = 4,236,008,411.39
  5. Step 5: Solve for x
    x = 4,236,008,411.39/48,432
  6. Step 6: Final answer
    x = 87,463.01

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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.