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Finding the Third Proportional to 14,564.81 and 31,206.94

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Solution

The third proportional to 14,564.81 and 31,206.94 is: 66,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.81 : 31,206.94 = 31,206.94 : x
  2. Step 2: Convert to fraction form
    14,564.81/31,206.94 = 31,206.94/x
  3. Step 3: Cross multiply
    14,564.81x = 31,206.94 × 31,206.94
  4. Step 4: Simplify right side
    14,564.81x = 973,872,948.13
  5. Step 5: Solve for x
    x = 973,872,948.13/14,564.81
  6. Step 6: Final answer
    x = 66,864.78

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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.