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Finding the Third Proportional to 19,670 and 42,470

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Solution

The third proportional to 19,670 and 42,470 is: 91,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670 : 42,470 = 42,470 : x
  2. Step 2: Convert to fraction form
    19,670/42,470 = 42,470/x
  3. Step 3: Cross multiply
    19,670x = 42,470 × 42,470
  4. Step 4: Simplify right side
    19,670x = 1,803,700,900
  5. Step 5: Solve for x
    x = 1,803,700,900/19,670
  6. Step 6: Final answer
    x = 91,698.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.