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Finding the Third Proportional to 48,470 and 65,133

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Solution

The third proportional to 48,470 and 65,133 is: 87,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,470 : 65,133 = 65,133 : x
  2. Step 2: Convert to fraction form
    48,470/65,133 = 65,133/x
  3. Step 3: Cross multiply
    48,470x = 65,133 × 65,133
  4. Step 4: Simplify right side
    48,470x = 4,242,307,689
  5. Step 5: Solve for x
    x = 4,242,307,689/48,470
  6. Step 6: Final answer
    x = 87,524.40

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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.