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Finding the Third Proportional to 48,718 and 59,345

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Solution

The third proportional to 48,718 and 59,345 is: 72,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,718 : 59,345 = 59,345 : x
  2. Step 2: Convert to fraction form
    48,718/59,345 = 59,345/x
  3. Step 3: Cross multiply
    48,718x = 59,345 × 59,345
  4. Step 4: Simplify right side
    48,718x = 3,521,829,025
  5. Step 5: Solve for x
    x = 3,521,829,025/48,718
  6. Step 6: Final answer
    x = 72,290.10

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.