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Finding the Third Proportional to 40,515.19 and 64,102.50

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Solution

The third proportional to 40,515.19 and 64,102.50 is: 101,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,515.19 : 64,102.50 = 64,102.50 : x
  2. Step 2: Convert to fraction form
    40,515.19/64,102.50 = 64,102.50/x
  3. Step 3: Cross multiply
    40,515.19x = 64,102.50 × 64,102.50
  4. Step 4: Simplify right side
    40,515.19x = 4,109,130,506.25
  5. Step 5: Solve for x
    x = 4,109,130,506.25/40,515.19
  6. Step 6: Final answer
    x = 101,421.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.