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Finding the Third Proportional to 52,607 and 70,878

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Solution

The third proportional to 52,607 and 70,878 is: 95,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,607 : 70,878 = 70,878 : x
  2. Step 2: Convert to fraction form
    52,607/70,878 = 70,878/x
  3. Step 3: Cross multiply
    52,607x = 70,878 × 70,878
  4. Step 4: Simplify right side
    52,607x = 5,023,690,884
  5. Step 5: Solve for x
    x = 5,023,690,884/52,607
  6. Step 6: Final answer
    x = 95,494.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.