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Finding the Third Proportional to 46.04 and 64.49

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Solution

The third proportional to 46.04 and 64.49 is: 90.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.04 : 64.49 = 64.49 : x
  2. Step 2: Convert to fraction form
    46.04/64.49 = 64.49/x
  3. Step 3: Cross multiply
    46.04x = 64.49 × 64.49
  4. Step 4: Simplify right side
    46.04x = 4,159.49
  5. Step 5: Solve for x
    x = 4,159.49/46.04
  6. Step 6: Final answer
    x = 90.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.