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Finding the Third Proportional to 45,904 and 70,580.50

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Solution

The third proportional to 45,904 and 70,580.50 is: 108,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904 : 70,580.50 = 70,580.50 : x
  2. Step 2: Convert to fraction form
    45,904/70,580.50 = 70,580.50/x
  3. Step 3: Cross multiply
    45,904x = 70,580.50 × 70,580.50
  4. Step 4: Simplify right side
    45,904x = 4,981,606,980.25
  5. Step 5: Solve for x
    x = 4,981,606,980.25/45,904
  6. Step 6: Final answer
    x = 108,522.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.