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Finding the Third Proportional to 34,316 and 53,478

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Solution

The third proportional to 34,316 and 53,478 is: 83,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,316 : 53,478 = 53,478 : x
  2. Step 2: Convert to fraction form
    34,316/53,478 = 53,478/x
  3. Step 3: Cross multiply
    34,316x = 53,478 × 53,478
  4. Step 4: Simplify right side
    34,316x = 2,859,896,484
  5. Step 5: Solve for x
    x = 2,859,896,484/34,316
  6. Step 6: Final answer
    x = 83,340.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.