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Finding the Third Proportional to 30,790.13 and 45,088.31

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Solution

The third proportional to 30,790.13 and 45,088.31 is: 66,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790.13 : 45,088.31 = 45,088.31 : x
  2. Step 2: Convert to fraction form
    30,790.13/45,088.31 = 45,088.31/x
  3. Step 3: Cross multiply
    30,790.13x = 45,088.31 × 45,088.31
  4. Step 4: Simplify right side
    30,790.13x = 2,032,955,924.10
  5. Step 5: Solve for x
    x = 2,032,955,924.10/30,790.13
  6. Step 6: Final answer
    x = 66,026.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.