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Finding the Third Proportional to 30,596 and 46,476

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Solution

The third proportional to 30,596 and 46,476 is: 70,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596 : 46,476 = 46,476 : x
  2. Step 2: Convert to fraction form
    30,596/46,476 = 46,476/x
  3. Step 3: Cross multiply
    30,596x = 46,476 × 46,476
  4. Step 4: Simplify right side
    30,596x = 2,160,018,576
  5. Step 5: Solve for x
    x = 2,160,018,576/30,596
  6. Step 6: Final answer
    x = 70,598.07

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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.