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Finding the Third Proportional to 32,931 and 52,312.50

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Solution

The third proportional to 32,931 and 52,312.50 is: 83,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931 : 52,312.50 = 52,312.50 : x
  2. Step 2: Convert to fraction form
    32,931/52,312.50 = 52,312.50/x
  3. Step 3: Cross multiply
    32,931x = 52,312.50 × 52,312.50
  4. Step 4: Simplify right side
    32,931x = 2,736,597,656.25
  5. Step 5: Solve for x
    x = 2,736,597,656.25/32,931
  6. Step 6: Final answer
    x = 83,100.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.