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Finding the Third Proportional to 4,870.13 and 10,518.61

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Solution

The third proportional to 4,870.13 and 10,518.61 is: 22,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.13 : 10,518.61 = 10,518.61 : x
  2. Step 2: Convert to fraction form
    4,870.13/10,518.61 = 10,518.61/x
  3. Step 3: Cross multiply
    4,870.13x = 10,518.61 × 10,518.61
  4. Step 4: Simplify right side
    4,870.13x = 110,641,143.18
  5. Step 5: Solve for x
    x = 110,641,143.18/4,870.13
  6. Step 6: Final answer
    x = 22,718.34

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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.