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Finding the Third Proportional to 32,547.56 and 67,686.56

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Solution

The third proportional to 32,547.56 and 67,686.56 is: 140,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.56 : 67,686.56 = 67,686.56 : x
  2. Step 2: Convert to fraction form
    32,547.56/67,686.56 = 67,686.56/x
  3. Step 3: Cross multiply
    32,547.56x = 67,686.56 × 67,686.56
  4. Step 4: Simplify right side
    32,547.56x = 4,581,470,743.07
  5. Step 5: Solve for x
    x = 4,581,470,743.07/32,547.56
  6. Step 6: Final answer
    x = 140,762.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.