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Finding the Third Proportional to 35,948 and 48,840

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Solution

The third proportional to 35,948 and 48,840 is: 66,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,948 : 48,840 = 48,840 : x
  2. Step 2: Convert to fraction form
    35,948/48,840 = 48,840/x
  3. Step 3: Cross multiply
    35,948x = 48,840 × 48,840
  4. Step 4: Simplify right side
    35,948x = 2,385,345,600
  5. Step 5: Solve for x
    x = 2,385,345,600/35,948
  6. Step 6: Final answer
    x = 66,355.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.