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Finding the Third Proportional to 37,316 and 56,335

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Solution

The third proportional to 37,316 and 56,335 is: 85,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,316 : 56,335 = 56,335 : x
  2. Step 2: Convert to fraction form
    37,316/56,335 = 56,335/x
  3. Step 3: Cross multiply
    37,316x = 56,335 × 56,335
  4. Step 4: Simplify right side
    37,316x = 3,173,632,225
  5. Step 5: Solve for x
    x = 3,173,632,225/37,316
  6. Step 6: Final answer
    x = 85,047.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.