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Finding the Third Proportional to 58,092.19 and 63,438.19

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Solution

The third proportional to 58,092.19 and 63,438.19 is: 69,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,092.19 : 63,438.19 = 63,438.19 : x
  2. Step 2: Convert to fraction form
    58,092.19/63,438.19 = 63,438.19/x
  3. Step 3: Cross multiply
    58,092.19x = 63,438.19 × 63,438.19
  4. Step 4: Simplify right side
    58,092.19x = 4,024,403,633.29
  5. Step 5: Solve for x
    x = 4,024,403,633.29/58,092.19
  6. Step 6: Final answer
    x = 69,276.16

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.