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Finding the Third Proportional to 48,548 and 64,724

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Solution

The third proportional to 48,548 and 64,724 is: 86,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,548 : 64,724 = 64,724 : x
  2. Step 2: Convert to fraction form
    48,548/64,724 = 64,724/x
  3. Step 3: Cross multiply
    48,548x = 64,724 × 64,724
  4. Step 4: Simplify right side
    48,548x = 4,189,196,176
  5. Step 5: Solve for x
    x = 4,189,196,176/48,548
  6. Step 6: Final answer
    x = 86,289.78

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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.