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Finding the Third Proportional to 48,592.63 and 79,347.50

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Solution

The third proportional to 48,592.63 and 79,347.50 is: 129,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,592.63 : 79,347.50 = 79,347.50 : x
  2. Step 2: Convert to fraction form
    48,592.63/79,347.50 = 79,347.50/x
  3. Step 3: Cross multiply
    48,592.63x = 79,347.50 × 79,347.50
  4. Step 4: Simplify right side
    48,592.63x = 6,296,025,756.25
  5. Step 5: Solve for x
    x = 6,296,025,756.25/48,592.63
  6. Step 6: Final answer
    x = 129,567.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.