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Finding the Third Proportional to 5,373.84 and 10,071.84

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Solution

The third proportional to 5,373.84 and 10,071.84 is: 18,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.84 : 10,071.84 = 10,071.84 : x
  2. Step 2: Convert to fraction form
    5,373.84/10,071.84 = 10,071.84/x
  3. Step 3: Cross multiply
    5,373.84x = 10,071.84 × 10,071.84
  4. Step 4: Simplify right side
    5,373.84x = 101,442,036.52
  5. Step 5: Solve for x
    x = 101,442,036.52/5,373.84
  6. Step 6: Final answer
    x = 18,877.00

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.