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Finding the Third Proportional to 49,023 and 77,670

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Solution

The third proportional to 49,023 and 77,670 is: 123,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,023 : 77,670 = 77,670 : x
  2. Step 2: Convert to fraction form
    49,023/77,670 = 77,670/x
  3. Step 3: Cross multiply
    49,023x = 77,670 × 77,670
  4. Step 4: Simplify right side
    49,023x = 6,032,628,900
  5. Step 5: Solve for x
    x = 6,032,628,900/49,023
  6. Step 6: Final answer
    x = 123,057.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.