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Finding the Third Proportional to 32,437.13 and 49,264.88

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Solution

The third proportional to 32,437.13 and 49,264.88 is: 74,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,437.13 : 49,264.88 = 49,264.88 : x
  2. Step 2: Convert to fraction form
    32,437.13/49,264.88 = 49,264.88/x
  3. Step 3: Cross multiply
    32,437.13x = 49,264.88 × 49,264.88
  4. Step 4: Simplify right side
    32,437.13x = 2,427,027,908.77
  5. Step 5: Solve for x
    x = 2,427,027,908.77/32,437.13
  6. Step 6: Final answer
    x = 74,822.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.