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Finding the Third Proportional to 32,931.50 and 77,702.75

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Solution

The third proportional to 32,931.50 and 77,702.75 is: 183,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.50 : 77,702.75 = 77,702.75 : x
  2. Step 2: Convert to fraction form
    32,931.50/77,702.75 = 77,702.75/x
  3. Step 3: Cross multiply
    32,931.50x = 77,702.75 × 77,702.75
  4. Step 4: Simplify right side
    32,931.50x = 6,037,717,357.56
  5. Step 5: Solve for x
    x = 6,037,717,357.56/32,931.50
  6. Step 6: Final answer
    x = 183,341.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.