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Finding the Third Proportional to 32,312.25 and 68,530.50

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Solution

The third proportional to 32,312.25 and 68,530.50 is: 145,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312.25 : 68,530.50 = 68,530.50 : x
  2. Step 2: Convert to fraction form
    32,312.25/68,530.50 = 68,530.50/x
  3. Step 3: Cross multiply
    32,312.25x = 68,530.50 × 68,530.50
  4. Step 4: Simplify right side
    32,312.25x = 4,696,429,430.25
  5. Step 5: Solve for x
    x = 4,696,429,430.25/32,312.25
  6. Step 6: Final answer
    x = 145,345.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.