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Finding the Third Proportional to 30,316.50 and 64,755

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Solution

The third proportional to 30,316.50 and 64,755 is: 138,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316.50 : 64,755 = 64,755 : x
  2. Step 2: Convert to fraction form
    30,316.50/64,755 = 64,755/x
  3. Step 3: Cross multiply
    30,316.50x = 64,755 × 64,755
  4. Step 4: Simplify right side
    30,316.50x = 4,193,210,025
  5. Step 5: Solve for x
    x = 4,193,210,025/30,316.50
  6. Step 6: Final answer
    x = 138,314.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.