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Finding the Third Proportional to 45,409.36 and 70,030.13

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Solution

The third proportional to 45,409.36 and 70,030.13 is: 108,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,409.36 : 70,030.13 = 70,030.13 : x
  2. Step 2: Convert to fraction form
    45,409.36/70,030.13 = 70,030.13/x
  3. Step 3: Cross multiply
    45,409.36x = 70,030.13 × 70,030.13
  4. Step 4: Simplify right side
    45,409.36x = 4,904,218,407.52
  5. Step 5: Solve for x
    x = 4,904,218,407.52/45,409.36
  6. Step 6: Final answer
    x = 108,000.17

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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.