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Finding the Third Proportional to 27,064.13 and 40,459.50

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Solution

The third proportional to 27,064.13 and 40,459.50 is: 60,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.13 : 40,459.50 = 40,459.50 : x
  2. Step 2: Convert to fraction form
    27,064.13/40,459.50 = 40,459.50/x
  3. Step 3: Cross multiply
    27,064.13x = 40,459.50 × 40,459.50
  4. Step 4: Simplify right side
    27,064.13x = 1,636,971,140.25
  5. Step 5: Solve for x
    x = 1,636,971,140.25/27,064.13
  6. Step 6: Final answer
    x = 60,484.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.