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Finding the Third Proportional to 39,312 and 84,847.50

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Solution

The third proportional to 39,312 and 84,847.50 is: 183,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,312 : 84,847.50 = 84,847.50 : x
  2. Step 2: Convert to fraction form
    39,312/84,847.50 = 84,847.50/x
  3. Step 3: Cross multiply
    39,312x = 84,847.50 × 84,847.50
  4. Step 4: Simplify right side
    39,312x = 7,199,098,256.25
  5. Step 5: Solve for x
    x = 7,199,098,256.25/39,312
  6. Step 6: Final answer
    x = 183,127.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.