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Finding the Third Proportional to 37,005 and 56,428

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Solution

The third proportional to 37,005 and 56,428 is: 86,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,005 : 56,428 = 56,428 : x
  2. Step 2: Convert to fraction form
    37,005/56,428 = 56,428/x
  3. Step 3: Cross multiply
    37,005x = 56,428 × 56,428
  4. Step 4: Simplify right side
    37,005x = 3,184,119,184
  5. Step 5: Solve for x
    x = 3,184,119,184/37,005
  6. Step 6: Final answer
    x = 86,045.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.