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Finding the Third Proportional to 25,430 and 39,343

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Solution

The third proportional to 25,430 and 39,343 is: 60,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,430 : 39,343 = 39,343 : x
  2. Step 2: Convert to fraction form
    25,430/39,343 = 39,343/x
  3. Step 3: Cross multiply
    25,430x = 39,343 × 39,343
  4. Step 4: Simplify right side
    25,430x = 1,547,871,649
  5. Step 5: Solve for x
    x = 1,547,871,649/25,430
  6. Step 6: Final answer
    x = 60,867.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.