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Finding the Third Proportional to 7,116.47 and 10,250.16

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Solution

The third proportional to 7,116.47 and 10,250.16 is: 14,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.47 : 10,250.16 = 10,250.16 : x
  2. Step 2: Convert to fraction form
    7,116.47/10,250.16 = 10,250.16/x
  3. Step 3: Cross multiply
    7,116.47x = 10,250.16 × 10,250.16
  4. Step 4: Simplify right side
    7,116.47x = 105,065,703.15
  5. Step 5: Solve for x
    x = 105,065,703.15/7,116.47
  6. Step 6: Final answer
    x = 14,763.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.