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Finding the Third Proportional to 30,294 and 65,377.13

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Solution

The third proportional to 30,294 and 65,377.13 is: 141,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 65,377.13 = 65,377.13 : x
  2. Step 2: Convert to fraction form
    30,294/65,377.13 = 65,377.13/x
  3. Step 3: Cross multiply
    30,294x = 65,377.13 × 65,377.13
  4. Step 4: Simplify right side
    30,294x = 4,274,168,473.27
  5. Step 5: Solve for x
    x = 4,274,168,473.27/30,294
  6. Step 6: Final answer
    x = 141,089.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.