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Finding the Third Proportional to 4,870.27 and 10,509.47

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Solution

The third proportional to 4,870.27 and 10,509.47 is: 22,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.27 : 10,509.47 = 10,509.47 : x
  2. Step 2: Convert to fraction form
    4,870.27/10,509.47 = 10,509.47/x
  3. Step 3: Cross multiply
    4,870.27x = 10,509.47 × 10,509.47
  4. Step 4: Simplify right side
    4,870.27x = 110,448,933.41
  5. Step 5: Solve for x
    x = 110,448,933.41/4,870.27
  6. Step 6: Final answer
    x = 22,678.22

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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.