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Finding the Third Proportional to 45,374 and 59,313

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Solution

The third proportional to 45,374 and 59,313 is: 77,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,374 : 59,313 = 59,313 : x
  2. Step 2: Convert to fraction form
    45,374/59,313 = 59,313/x
  3. Step 3: Cross multiply
    45,374x = 59,313 × 59,313
  4. Step 4: Simplify right side
    45,374x = 3,518,031,969
  5. Step 5: Solve for x
    x = 3,518,031,969/45,374
  6. Step 6: Final answer
    x = 77,534.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.