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Finding the Third Proportional to 45,208.13 and 63,681.19

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Solution

The third proportional to 45,208.13 and 63,681.19 is: 89,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208.13 : 63,681.19 = 63,681.19 : x
  2. Step 2: Convert to fraction form
    45,208.13/63,681.19 = 63,681.19/x
  3. Step 3: Cross multiply
    45,208.13x = 63,681.19 × 63,681.19
  4. Step 4: Simplify right side
    45,208.13x = 4,055,293,641.41
  5. Step 5: Solve for x
    x = 4,055,293,641.41/45,208.13
  6. Step 6: Final answer
    x = 89,702.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.