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Finding the Third Proportional to 6,587.16 and 10,016.16

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Solution

The third proportional to 6,587.16 and 10,016.16 is: 15,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.16 : 10,016.16 = 10,016.16 : x
  2. Step 2: Convert to fraction form
    6,587.16/10,016.16 = 10,016.16/x
  3. Step 3: Cross multiply
    6,587.16x = 10,016.16 × 10,016.16
  4. Step 4: Simplify right side
    6,587.16x = 100,323,386.02
  5. Step 5: Solve for x
    x = 100,323,386.02/6,587.16
  6. Step 6: Final answer
    x = 15,230.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.