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Finding the Third Proportional to 29,981.63 and 64,501.13

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Solution

The third proportional to 29,981.63 and 64,501.13 is: 138,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,981.63 : 64,501.13 = 64,501.13 : x
  2. Step 2: Convert to fraction form
    29,981.63/64,501.13 = 64,501.13/x
  3. Step 3: Cross multiply
    29,981.63x = 64,501.13 × 64,501.13
  4. Step 4: Simplify right side
    29,981.63x = 4,160,395,126.27
  5. Step 5: Solve for x
    x = 4,160,395,126.27/29,981.63
  6. Step 6: Final answer
    x = 138,764.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.