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Finding the Third Proportional to 5,888.95 and 12,592.34

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Solution

The third proportional to 5,888.95 and 12,592.34 is: 26,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.95 : 12,592.34 = 12,592.34 : x
  2. Step 2: Convert to fraction form
    5,888.95/12,592.34 = 12,592.34/x
  3. Step 3: Cross multiply
    5,888.95x = 12,592.34 × 12,592.34
  4. Step 4: Simplify right side
    5,888.95x = 158,566,924.36
  5. Step 5: Solve for x
    x = 158,566,924.36/5,888.95
  6. Step 6: Final answer
    x = 26,926.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.