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Finding the Third Proportional to 39,210 and 85,528.50

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Solution

The third proportional to 39,210 and 85,528.50 is: 186,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,210 : 85,528.50 = 85,528.50 : x
  2. Step 2: Convert to fraction form
    39,210/85,528.50 = 85,528.50/x
  3. Step 3: Cross multiply
    39,210x = 85,528.50 × 85,528.50
  4. Step 4: Simplify right side
    39,210x = 7,315,124,312.25
  5. Step 5: Solve for x
    x = 7,315,124,312.25/39,210
  6. Step 6: Final answer
    x = 186,562.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.