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Finding the Third Proportional to 5,316.19 and 12,417.19

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Solution

The third proportional to 5,316.19 and 12,417.19 is: 29,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.19 : 12,417.19 = 12,417.19 : x
  2. Step 2: Convert to fraction form
    5,316.19/12,417.19 = 12,417.19/x
  3. Step 3: Cross multiply
    5,316.19x = 12,417.19 × 12,417.19
  4. Step 4: Simplify right side
    5,316.19x = 154,186,545.41
  5. Step 5: Solve for x
    x = 154,186,545.41/5,316.19
  6. Step 6: Final answer
    x = 29,003.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.