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Finding the Third Proportional to 5,658 and 12,364.13

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Solution

The third proportional to 5,658 and 12,364.13 is: 27,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658 : 12,364.13 = 12,364.13 : x
  2. Step 2: Convert to fraction form
    5,658/12,364.13 = 12,364.13/x
  3. Step 3: Cross multiply
    5,658x = 12,364.13 × 12,364.13
  4. Step 4: Simplify right side
    5,658x = 152,871,587.02
  5. Step 5: Solve for x
    x = 152,871,587.02/5,658
  6. Step 6: Final answer
    x = 27,018.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.