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Finding the Third Proportional to 29,427.19 and 63,569.81

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Solution

The third proportional to 29,427.19 and 63,569.81 is: 137,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,427.19 : 63,569.81 = 63,569.81 : x
  2. Step 2: Convert to fraction form
    29,427.19/63,569.81 = 63,569.81/x
  3. Step 3: Cross multiply
    29,427.19x = 63,569.81 × 63,569.81
  4. Step 4: Simplify right side
    29,427.19x = 4,041,121,061.29
  5. Step 5: Solve for x
    x = 4,041,121,061.29/29,427.19
  6. Step 6: Final answer
    x = 137,326.11

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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.