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Finding the Third Proportional to 5,347.90 and 12,364.52

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Solution

The third proportional to 5,347.90 and 12,364.52 is: 28,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.90 : 12,364.52 = 12,364.52 : x
  2. Step 2: Convert to fraction form
    5,347.90/12,364.52 = 12,364.52/x
  3. Step 3: Cross multiply
    5,347.90x = 12,364.52 × 12,364.52
  4. Step 4: Simplify right side
    5,347.90x = 152,881,439.84
  5. Step 5: Solve for x
    x = 152,881,439.84/5,347.90
  6. Step 6: Final answer
    x = 28,587.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.