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Finding the Third Proportional to 32,378 and 70,453

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Solution

The third proportional to 32,378 and 70,453 is: 153,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378 : 70,453 = 70,453 : x
  2. Step 2: Convert to fraction form
    32,378/70,453 = 70,453/x
  3. Step 3: Cross multiply
    32,378x = 70,453 × 70,453
  4. Step 4: Simplify right side
    32,378x = 4,963,625,209
  5. Step 5: Solve for x
    x = 4,963,625,209/32,378
  6. Step 6: Final answer
    x = 153,302.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.