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Finding the Third Proportional to 36,348 and 78,528

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Solution

The third proportional to 36,348 and 78,528 is: 169,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348 : 78,528 = 78,528 : x
  2. Step 2: Convert to fraction form
    36,348/78,528 = 78,528/x
  3. Step 3: Cross multiply
    36,348x = 78,528 × 78,528
  4. Step 4: Simplify right side
    36,348x = 6,166,646,784
  5. Step 5: Solve for x
    x = 6,166,646,784/36,348
  6. Step 6: Final answer
    x = 169,655.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.