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Finding the Third Proportional to 4,970.06 and 10,718.56

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Solution

The third proportional to 4,970.06 and 10,718.56 is: 23,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.06 : 10,718.56 = 10,718.56 : x
  2. Step 2: Convert to fraction form
    4,970.06/10,718.56 = 10,718.56/x
  3. Step 3: Cross multiply
    4,970.06x = 10,718.56 × 10,718.56
  4. Step 4: Simplify right side
    4,970.06x = 114,887,582.07
  5. Step 5: Solve for x
    x = 114,887,582.07/4,970.06
  6. Step 6: Final answer
    x = 23,115.92

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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.