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Finding the Third Proportional to 22,421.81 and 46,301.63

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Solution

The third proportional to 22,421.81 and 46,301.63 is: 95,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.81 : 46,301.63 = 46,301.63 : x
  2. Step 2: Convert to fraction form
    22,421.81/46,301.63 = 46,301.63/x
  3. Step 3: Cross multiply
    22,421.81x = 46,301.63 × 46,301.63
  4. Step 4: Simplify right side
    22,421.81x = 2,143,840,477.64
  5. Step 5: Solve for x
    x = 2,143,840,477.64/22,421.81
  6. Step 6: Final answer
    x = 95,614.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.