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Finding the Third Proportional to 58,019.63 and 78,281.44

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Solution

The third proportional to 58,019.63 and 78,281.44 is: 105,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,019.63 : 78,281.44 = 78,281.44 : x
  2. Step 2: Convert to fraction form
    58,019.63/78,281.44 = 78,281.44/x
  3. Step 3: Cross multiply
    58,019.63x = 78,281.44 × 78,281.44
  4. Step 4: Simplify right side
    58,019.63x = 6,127,983,457.07
  5. Step 5: Solve for x
    x = 6,127,983,457.07/58,019.63
  6. Step 6: Final answer
    x = 105,619.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.