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Finding the Third Proportional to 8,693.16 and 13,205.53

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Solution

The third proportional to 8,693.16 and 13,205.53 is: 20,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.16 : 13,205.53 = 13,205.53 : x
  2. Step 2: Convert to fraction form
    8,693.16/13,205.53 = 13,205.53/x
  3. Step 3: Cross multiply
    8,693.16x = 13,205.53 × 13,205.53
  4. Step 4: Simplify right side
    8,693.16x = 174,386,055.59
  5. Step 5: Solve for x
    x = 174,386,055.59/8,693.16
  6. Step 6: Final answer
    x = 20,060.15

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Why These Related Problems?

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