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Finding the Third Proportional to 31,430 and 46,335

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Solution

The third proportional to 31,430 and 46,335 is: 68,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430 : 46,335 = 46,335 : x
  2. Step 2: Convert to fraction form
    31,430/46,335 = 46,335/x
  3. Step 3: Cross multiply
    31,430x = 46,335 × 46,335
  4. Step 4: Simplify right side
    31,430x = 2,146,932,225
  5. Step 5: Solve for x
    x = 2,146,932,225/31,430
  6. Step 6: Final answer
    x = 68,308.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.