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Finding the Third Proportional to 28,459.13 and 45,726.19

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Solution

The third proportional to 28,459.13 and 45,726.19 is: 73,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,459.13 : 45,726.19 = 45,726.19 : x
  2. Step 2: Convert to fraction form
    28,459.13/45,726.19 = 45,726.19/x
  3. Step 3: Cross multiply
    28,459.13x = 45,726.19 × 45,726.19
  4. Step 4: Simplify right side
    28,459.13x = 2,090,884,223.29
  5. Step 5: Solve for x
    x = 2,090,884,223.29/28,459.13
  6. Step 6: Final answer
    x = 73,469.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.