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Finding the Third Proportional to 32,545 and 71,030

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Solution

The third proportional to 32,545 and 71,030 is: 155,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545 : 71,030 = 71,030 : x
  2. Step 2: Convert to fraction form
    32,545/71,030 = 71,030/x
  3. Step 3: Cross multiply
    32,545x = 71,030 × 71,030
  4. Step 4: Simplify right side
    32,545x = 5,045,260,900
  5. Step 5: Solve for x
    x = 5,045,260,900/32,545
  6. Step 6: Final answer
    x = 155,024.15

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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.