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Finding the Third Proportional to 6,410.53 and 9,701.16

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Solution

The third proportional to 6,410.53 and 9,701.16 is: 14,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.53 : 9,701.16 = 9,701.16 : x
  2. Step 2: Convert to fraction form
    6,410.53/9,701.16 = 9,701.16/x
  3. Step 3: Cross multiply
    6,410.53x = 9,701.16 × 9,701.16
  4. Step 4: Simplify right side
    6,410.53x = 94,112,432.59
  5. Step 5: Solve for x
    x = 94,112,432.59/6,410.53
  6. Step 6: Final answer
    x = 14,680.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.