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Finding the Third Proportional to 52,430.63 and 83,384.44

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Solution

The third proportional to 52,430.63 and 83,384.44 is: 132,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,430.63 : 83,384.44 = 83,384.44 : x
  2. Step 2: Convert to fraction form
    52,430.63/83,384.44 = 83,384.44/x
  3. Step 3: Cross multiply
    52,430.63x = 83,384.44 × 83,384.44
  4. Step 4: Simplify right side
    52,430.63x = 6,952,964,417.19
  5. Step 5: Solve for x
    x = 6,952,964,417.19/52,430.63
  6. Step 6: Final answer
    x = 132,612.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.