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Finding the Third Proportional to 34,475 and 48,784

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Solution

The third proportional to 34,475 and 48,784 is: 69,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,475 : 48,784 = 48,784 : x
  2. Step 2: Convert to fraction form
    34,475/48,784 = 48,784/x
  3. Step 3: Cross multiply
    34,475x = 48,784 × 48,784
  4. Step 4: Simplify right side
    34,475x = 2,379,878,656
  5. Step 5: Solve for x
    x = 2,379,878,656/34,475
  6. Step 6: Final answer
    x = 69,032.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.