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Finding the Third Proportional to 5,839.59 and 9,017.58

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Solution

The third proportional to 5,839.59 and 9,017.58 is: 13,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.59 : 9,017.58 = 9,017.58 : x
  2. Step 2: Convert to fraction form
    5,839.59/9,017.58 = 9,017.58/x
  3. Step 3: Cross multiply
    5,839.59x = 9,017.58 × 9,017.58
  4. Step 4: Simplify right side
    5,839.59x = 81,316,715.24
  5. Step 5: Solve for x
    x = 81,316,715.24/5,839.59
  6. Step 6: Final answer
    x = 13,925.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.