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Finding the Third Proportional to 52,808 and 70,392

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Solution

The third proportional to 52,808 and 70,392 is: 93,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,808 : 70,392 = 70,392 : x
  2. Step 2: Convert to fraction form
    52,808/70,392 = 70,392/x
  3. Step 3: Cross multiply
    52,808x = 70,392 × 70,392
  4. Step 4: Simplify right side
    52,808x = 4,955,033,664
  5. Step 5: Solve for x
    x = 4,955,033,664/52,808
  6. Step 6: Final answer
    x = 93,831.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.