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Finding the Third Proportional to 30,307.50 and 45,370.13

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Solution

The third proportional to 30,307.50 and 45,370.13 is: 67,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.50 : 45,370.13 = 45,370.13 : x
  2. Step 2: Convert to fraction form
    30,307.50/45,370.13 = 45,370.13/x
  3. Step 3: Cross multiply
    30,307.50x = 45,370.13 × 45,370.13
  4. Step 4: Simplify right side
    30,307.50x = 2,058,448,242.52
  5. Step 5: Solve for x
    x = 2,058,448,242.52/30,307.50
  6. Step 6: Final answer
    x = 67,918.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.