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Finding the Third Proportional to 29,178.63 and 64,030.63

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Solution

The third proportional to 29,178.63 and 64,030.63 is: 140,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178.63 : 64,030.63 = 64,030.63 : x
  2. Step 2: Convert to fraction form
    29,178.63/64,030.63 = 64,030.63/x
  3. Step 3: Cross multiply
    29,178.63x = 64,030.63 × 64,030.63
  4. Step 4: Simplify right side
    29,178.63x = 4,099,920,937.89
  5. Step 5: Solve for x
    x = 4,099,920,937.89/29,178.63
  6. Step 6: Final answer
    x = 140,511.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.