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Finding the Third Proportional to 58,794.19 and 89,574.19

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Solution

The third proportional to 58,794.19 and 89,574.19 is: 136,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,794.19 : 89,574.19 = 89,574.19 : x
  2. Step 2: Convert to fraction form
    58,794.19/89,574.19 = 89,574.19/x
  3. Step 3: Cross multiply
    58,794.19x = 89,574.19 × 89,574.19
  4. Step 4: Simplify right side
    58,794.19x = 8,023,535,066.29
  5. Step 5: Solve for x
    x = 8,023,535,066.29/58,794.19
  6. Step 6: Final answer
    x = 136,468.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.